{
 "metadata": {
  "name": "",
  "signature": "sha256:3efa3c793a6769e978ea404d8aef2f0cc4dc731adf2ab1ac3e092d62a3333fae"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "rcParams['figure.figsize'] = (10, 4) #wide graphs by default\n",
      "from __future__ import print_function\n",
      "from __future__ import division"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Cepstrum"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.io import wavfile"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sr, e = wavfile.read('e.wav')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sr"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "16000"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Audio\n",
      "Audio(e, rate=sr)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source 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\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "<IPython.lib.display.Audio at 0x7fa91b36e990>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(e)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91b2a1950>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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5c1rrbWu/jaNbaz7cKW6yxFt8/kvKkgaYh1Ze8ZYW8xYvX3NN06b7cPjnP41r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\n+JqqUrxxo2R9+pF2PKgcToCxlm25ZfT/rGD+Iu4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nGawjIV2aIffdt422cvcV2Y9msLw1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\nuHgzMzMzqxEXb2ZmZmY18n/2yu+Vf84WQQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91b36e790>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "start = 4000\n",
      "fourier_trans = rfft(e[start:start + 2048]* hanning(2048), n=4096)\n",
      "mag_spectrum_e = abs(fourier_trans)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(mag_spectrum_e)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91b27dfd0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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89o1Ru6LH9ZLk7i2StpnZISW21e0IcQAAIEsqDnFmdqBCleyr7r4jOc/dXVLNxxu6UwEA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\noBcixAEAAPRChDgAAIBeiBAHAADQC/1/k+c2Qh7fETsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91b0ed690>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "log_mag_spec_e = log(mag_spectrum_e)\n",
      "plot(log_mag_spec_e[:1000])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91b220750>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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adWP1VeAuzx07V4C/uOrtpRwt3bkC3FZPPvQQVXW/915qmx/4AO0U8YMf2L3e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\nEREtSnMVERER0aJ/AJYEz2Sax+1zAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91b355a90>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "freqs = linspace(0, sr/2, 2049)\n",
      "plot(freqs, log_mag_spec_e)\n",
      "xlabel('Frequency (Hz)')\n",
      "ylabel('Log amplitude')\n",
      "xlim((0, 4000))\n",
      "grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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xRCVmKilKh2IWRe1SVbuRVMyam0nRKC2NRg6ZFBUW0nOJsquyqYnaQToUM4BM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\nkxEzrhMmO36KmRCJg+555wGHHeb+XhA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Bjz3mvu/iYrNwMn5zT0GB+5pHHeX/vNUFz65d\nzu9VVZGp+r33guc/1Q1GSnLByMmhgNT33kvv79xJBPiVV4CHHiIxJFnc0PGOIFPm0uG/cb/X7ijc\nrFnA9dcnvl9YSAPfe+9RzKXrr0+ugBQVBathjO7uxOStDHbyrKgAzjyTBsdzz3UmaPbFMiFmURQz\n9gPJz6cVChOz7m6nLCamzKYmSjujErMgtYrl9/p64IAD/BNxh6XfyQQx++lP4/jZz9ykxps4XIVp\nSiZWzNgRPSwRPKO1NbnpyKuY1dXRe0yyAGq3OTk0Kf/61/7X4dQ5gDvqPLeVjg59xay5mYiFKTFb\nsICUumuucZtsua5SJWa6ZkwgnJj5+VKpUM34RUXOb+/a5RCzIPAExIrZEUfQRNPfTwr0f/+rfy8q\npk4lwv3mm/rETC1/mNN8Mh8zwH+ijqqY/ehHwAsv6H/fq5hx+XXGWm9bKCtzrqdL3OPxOObPp7lG\ndf4HzIgZq3NcftN5YN486udexay62kkTFQY/37KCAr32xIsUWrjH3z+H2/sVVwQ/EzXIbEMD3lch\nr7vOCda7bh0t8lasoOC7Z59Nc+2eiCBT5oqAl2bM4tSQkwNcfXXi+4WFTpDDiROBf/87+QouPz88\nATlAk2AyYlZaiuG4RrTqXbaMyBhHkGZipuNjxp0jVcUMcPuYMTHTVcykpMl3/nwasP/4R+COO5x0\nTH4oL3eSp++zj0MIVJhuQPCCfcyCUFXljjrNpmXVhyFIMWNVQ3eXkHotnSC9jNZW//Q3QCIxa2+n\nQamhwSlXczO176wsIj5+2Gsv5znwwKeaDMLMiFVVDjFn3xFTYsY+cE895SZm+fmOo3UqxMwE3DeC\nEkPrgP0rq6qc+tiyJVwxmz6dvtfeTpPPggXULrduTa3Pq76aJoqZmtLKVDFjMuEt97RptDCLgupq\nCnyrCy8x47rXUey4zbGvMvtAAXobMBi1tTTu8Tm82DIhZlzvbO4zVcx4w4H67Hn+KymJZsrk93T9\n9UpLHfLFz4H/rl8fbsrk8ZkzLsydSxYbHstbW0mMyc6mRcjZZ9NCVXe8HU8IMmWeHvA6I/NFS47C\nQnLAr6hIPvExeBdOGIJMmUIQ4+ffWrjQrbrwRGriY6ZD4rxQfcwAtynTVDHr6qLrTJtGZOCaa4CP\nfpQSOScD3/+cOTRR+IUNSdWU2dAQPonHYsA//+kct7XFALh3AyXLBAHQYFhYqLfqP/dcDAf7pGMT\nxaytTV8x6+igNqXm97vjjvBFhWrKbGmh9tDc7LSVMGI2ebIzMDIBVYnZqlWOUpgMn/mME+ZEnTB5\n0O7pSb7oyRRY5fYizMeMwcRsyhQiW1/+Mt1nULgMgCaW228ns+OUKTRZHXEEqURRVHKG6vsZhZhx\nxHwTH7NkO1w3bNB3ek8VXlMmQ0fx5navmqR5jNYdf2Ox2Pu7hbneFyygvyZKrrcOTV1a2CXHq5hV\nVVE7U/0hw8oQVTFzUjjF3n+f/ZC7usIVMyZm6lw7ZYqbmFVU0GapJUuong86iISXPQ1BpsyN/ALQ\nC+AgAAcA6B1+b8TA+dYqKsIdOE0Us7CwAuokq6ZrMTFl6vo1BIE7FseniqKYcSeoraVwGUNDwLXX\nBp+fm+vsuEu2qcKUmElJSXgZ27eHb6U/7TTquPxc29tJ6leJWZBiBtDzU5Wl3/7W8dNTr/HQQ/S/\nSobTqZgxqe/ooDpVSdGdd5JTfBBUUybnqVSVwzBiVlNDSsquXW5ixhPf735HqW+C2nZODrWJs89O\n9EsE6Jmno93rQkpKRp4KmJg99hhw9NHO++pONj/MnEkkbNkypx0fdRSFbUhFMVOJSVTFDDBTzJIR\ns9xc/V2ZqSLZQlYn9+K0acnVOZP2yHG5uB44fI2OiwwjGTEzUcwA9xzFxGzp0sTYYX7ws9Z4fcyS\ngYmZN1zSccfR+BMWLkqN26ju8laJGY9VvDCfPZt2bt5/f3j5xhtCA8UKIS4F8B8A54Dil70mhPDZ\nt7H7UFhIq7+KinBzlIliFrSq9yNmPHmZbINnRAm2p8YxA6ijFBcD77zjxLPSJWbcCWprqfz77683\nWJWXk2LmTc7MCAuN4CVmS5fSDrTBQXL2bGgITyzMwT95cK6vj2PRIjNi5k2s+/nPkzqmQk1UrJoy\n06GY5efTBM8mt/Z2an+qkpaVlTw3K2PyZHqmHR30TOfNo/vithJGzHJyyLyk5gOsqKA2NThI5UoW\nX8yLhx+mXJte7G61LAhhPmYMJmbV1e521N8f3E9UAsHEbO+9qX5TIWaAswAMyzXLKCpy50UEzHzM\nUt1IkQ74KWa5uXqm6uJiIsl+47MuMYvH4+/vIOSNG3xuMlXWD96xKIopE3ArY2zK1L1GMud/HaI/\ndapDmMrL467PmJCFLVh4Z7IasLq6mgjb4KAjFnA4quJiitf2+OPOzvM9BToR/L8F4ODheGMXAVgE\n4NuZLVYweHCprKTJHAAeTRLAQ1cxC3L+ByjB8pFHOseqqsDET3fABFKLgqw6s3r9HHRNmdwJ2JzJ\n0c3DUF6eXsXslVfo75Yt5EOhO9CoEet7e2k7+U03ObK3CTHjSdjrt6ISMx58wgLkMqQklSTI1F5e\n7qhjrJgxMevspAklzFQvBJGznTupPc6da+ZjBhDx2rLFqbOiIuDpp4Fbb3UyB6QCHTPLaIMaw09t\nj729wZP6pz4FnHMO/e+NqZaKKRNwflc31IuqmHEbSIditjvh9TED9AO7MniOUGGimE2cSP35wx92\n3hsaSlzIBSFdipnalw4/3Mxfz8+UqetjduyxTkBYb39mQhakmM2ejeH8tW7FLDeX5qGdO5056fHH\nnWC2VVXA6ac78ej2FOgQs0YA6pTVOfzeiEFNa8GrodNP9/8ud+jBQepc06f7+0aFmTLPOcftgKsq\nZkzMTMhWFGLm9TErLU0ss6liBpBfzPz5emU4/HDaPp4sFpgpMWPz4dq1zsYCHajOpIODMSxaRP/f\neCP9DSNmEyc6McMaGmgA4CCpDPX+eCDXVczeeQf485+DB6uKCuc3WDFjUyabdHUmkEmT6B6am524\nQLo+ZoDjsM51xn4jzz0XHgdNB6OJmJn6mAFuhSGMmFVUAB//OP3Pzz4dIXIYP/sZcNJJet/1I2bp\n8DHbnfBTzH73u+S7lP3gR8zCsqwwkrUXU9O8N0xKFB8zwO0vd9ZZ/kFakyGZKVM3k8SECeT28txz\nMddn3M6DxrpZs0gxkzIxxduMGUTEeKyaO9et0h9ySKKbyXiHTvNcB+BVIcQPhvNkvgpgzXDezCsy\nWrok4MGlokJv0BgaAg49lNSUbdvIMVeFlOHEzAsmZnV1zkSdaWLGUIlZcTGpTqzmmfqYAcBXv+rv\nG+SHe+8l04xXMfvJT4iImBKzlhaauNesAb7wBf1Aomoqoa4uer4nn+wQuzBiduGFTgDP7duJnMyc\n6c7V6bc5QFcx47IFOSmrZktOacLv6fjaMaqriZh1dxNJU808LS3hJpfaWiKpHBZk4UIyC69aFR4H\nTQe7a0dmOpFMMevpCZ/UzzwTePJJ5zidxOwb39CP3p+qYsbnpKr0pQI/xez008n1QBd+pkxdYpYu\nHH20e8w3Vcy4D5qYT71I5vxv0iYOPTTRn03HlFleTu2/sTExkwjnAk0WXujgg8lnc0+CLjH7BwA5\n/PoHgPWgvJkj4j2iRh3++c8TiZYfli1znAjfecf9WV8fNS6TgbOykoje1KmO83WmTZnsB8IDDQ9W\nRxxBzvBA8EpuwgRSRtatc3eCc8/VD+DJYGK2cSPV7fe+R+mEwogZBx1ltLbS1vvXXqPr3Hpr8nNV\nsGI2NAR0d8dRWkoRq9nBNIyYnXwyxSYaHCSfhpoa2gX09tvOd/y25OsqZg0NJP+r0du9UIlZe7vb\nlKkmkw8D+2n099M1enudtsKxyYLgNWUCTvqp8aaY6fqYqX3ZRDHj7598snOcTmJmgjlzaBEFOBN6\nFB+z3blxwws/YmaKO+4glU2FiY9ZJmDqY+YNsxEFqfiYqfDWiY5iBjgLQG/4HVbTkm2WmjPHSR+4\npyC0uQ/nyxxVKCsjMjZvnhN3SQf33kvS71ueKGysCpisosrK3D5IwO5TzIIcX4PIYU0N3f+jjxIR\nMPXVUMHO/yef7IRrGBoKDzCbm+s2LbS20q61P/yBzMXJ8iV6wcSsp4cGmuxs986fMGKWl0eTVV2d\nk/Fgr70owvf559N3/IiZrmLW0ECEM8hv0U8xY1Nmbq6+0zybMlVixtD1MeP8dGp0887O1InZJZck\n5v8cC4jqY+aHdPmYmeKUUxwlnCc8E7NkQUFq41Q6kCxchglOPTXxvd2tmHkRtU2kI/5lKoqZH3SJ\nGacz9Krws2Y56rzfWFNdTeOkSTqysQ6dXZmHCiH+LoRYtrsDzAbhoIPMTSw9PcC3vw389a/utDVs\n8zYZcPPzEyduE8XM5LsM9ncI2szgTTzuxZQpVO6gqPQ6YB8zNdDrwADVZVDnyclxmxba2mhV39ND\nJjRdsPN+ZydQVhYDYEbMAEcpYrXqyCMdggL4mzJ1w2WEZVEA3MSMV5HV1VSnTNR0wKZMlZjFYjH0\n99N7YcRq+nRayap1VlxMz6SjIzVT5u9/Tz4iowVRfMzUybOvzyx+FeD0h5Hc3chlSDbG6dbL7kY6\nFDM/6I71maqXKCrqEUeQKTGdv/mhD5lf01snOqZMgNxMtm1LVMzmziWrUzK3iawsInUceWC0oLeX\n1Lwoc3kYdNYN9wG4B8BHMUoCzEbFZZeRE2ZPj9sZM4pixmmRVIy0YlZYGK44sRKio6QEgU2Z7GfG\nEdK3bQuPheZVzHhHqDfheRAKCmiSVFdZXmIWNugxMeMdkUcfTQSFw250diauAnUDzOokY1d3ZQ4N\n0W/NmkWyfWenPjHjTQRMwvr7qX21tOjlBGQTg0rMsrJo8KyrS92UORahtlGvKfNXv9Jzn2CMlClT\nxVhVGrKzqf2mW20cSfMsYG7KBMiXWM2sYQo/5/8LLiDClwp0FTOVmKkEbMECcisJ8mflxaMp/Db6\npQvr1tFOUzWNXrqgQ0V2SikflVKu9wSdHVOorgZ+8xv6f/Nm9w5Ldkb84heB//1fvev5DbKZJmZs\n209GzLq7ybwbhNLS9ChmXuWoqorMgZs26StmQ0NEinhHqImfW24uXYeCPMYBkHmzpYWuGxT5n8ED\nBe+IzMkh0yyrZh0diXWkq5g1Nob7VqmK2eAgkSH2twjLcamCSTLfc14ecO+9cbz5ph75ZmLnVRmZ\n5KXq/D+aoOMzVFbmdrL2mjIrK0mx18VImTJV7LcfcOCByT/PlC9VOpCbm37FTHcRnql64fvZnSbV\n7Gx6pbrLNqqPWU0NkSs/5/+mJrIyJBtrePFogrffpjmJ5/10g33L2b87ndBpFtcJIX4vhPiEEOKj\nw69z0l+UzELt2FOnUkNggsBMfdo02hmoAz9ilglJ0w9f/Srwy19GOzddill+PtWfGkZCl5ixGsFm\nMt59aKKY5eU5xIx/LzubBvG+Pj1TJvvJsWIGOHnxACeIsQpOGh8GNo8GQY3yrypmTMx0FTOVmOXl\nUX1ccgmRTJ1nzCpgb6+7znjwTNUHZazhvffcrg7c1//852jxlEaDYlZVRQnQxyLUHJfpwkgrZozd\nNWcwPvax9C+0dE2ZixbRJi+vKTM7m8yZHR3J3QQ4pI8J7r4bOOMMihgQ5uITBayU+eWMThU6xOwi\nUDqmjwD4f8OvJFHDRi9UYpaTQ2Yv9o+KEhJgJBQztu3vvTelyYkCJmapKmZCOMEJ584lclBTQ/Ju\nECFSTZlchuJi4Lvf1d+FyNfp76d7mTo19v77hYXAX/5CRCOMmLF6yIoZQOSck6L7KWYlJXo5NnWI\n1dSpzm+xYjZhArWt//wnOjGjgTKGiRP1iFlWFtVba6u7znigHWlH6XRCx2eopsadfYJJwYknuoNM\n62I0ELMwjFYfM2BkFbNM18vuJmYPPJA6yU3mYxammC1aRDvg16xJnG/ZupCqKXP5cuDTn6b/16+n\nzAHFxakvSjZvBt591/3exo3khqMzH5hCp3l+AMChw5H/P8Ov9Bcls/A2GjZjAYk2bx2kSsx2d4dk\nMLFIVTEDaDIvLKSVw5NPUnybnp7glEqqKVM11/34x2YEgE2Z7e3uLdYFBcCll9KzDSNmXBeqYqa2\nCz/FjImtir4+UlrVGGg6PmIcDVtKRzETgq71+uvmpsxdu6hdst9fX59+3KOSElKR1TrLxIAzFuG3\nm80Eo8GUOZaRCWK2pypmmYAuMcvOJpP6ihWJbh48/yZbvLA/cBhefRX405+IxG3eTOcdcwzw8svh\n5wbh+9+nstfXO+91dBBh9MuAkyp0psIlAFJMCTzy8Hbso46izQBvvpmaYqZ2cN1O9utfAz/8odnv\nAenxd+D4VDrxrcLAxCwriyYfDjwYlEVAVcx0/MCCrrNrF6k8PT1xV5kYURUzJmYdHYlR1v2I2eLF\n5MfwiU+4k5LrELNly0i9ZcUMcFQZE8WMA9lmZ3P9xtHZqf+Mi4vpGurAWF8/slHfM4EofYgJVVTF\ni+sw3eQinRjtPmYjZcrMdL2MRWLmrRMh6KWzsOYNUd6g02GbU3QVM45Y8PbbRORmzKDNDf/5T/i5\nQVixgtxM1NSP3d3kqz5SxOxIAMuFEKtHU7gMU3gHxZ/8hB7iP/9J6YBMt8DzIK2ep6uYff7zIxdC\noKSEdh2Wlob7QIWBiRmDfcU46a8fVMWMFZ4o4OT0bW1uUm1CzPwUs5oaktsHBqjDffOb7ufKZE7F\n4sUU6HjjRjepC1O8OMtBUxMRM15xMrE1UcwaG/3r0oSYAYl1dthheuePZzApiEpSR4s6M1YxkqbM\nTEPdhDaWwRsLwpCMmOls1NIhZpxxpamJxuBJk8j1J5Uk6D09wMqVwHXXAY884rzf1TWyxOwjAOYD\n+DDGcLgMb8cuLqZdmN/9LnDffeQ/YgKeBFVSkOnVTzr8HUpKSBnZb7/Uy1NQ4Cam7COmGy6jvz/6\nSpgVs7Y2YP/9Y64yMXQUs44Ot2LG8dEaGog4eQcbP8Vs82baDTt7thOhWseUKQQpbYWFtLrjyWLm\nTOcedVBaSnXqJmYxAKkRs3ffBf7+d73zxwqi9KG8PHpWOhNPEEY6WGsQRruP2UgpZpmsl/5+yj08\n1uBXJ1lZev1j8mSaM7wWqrCxetIkGpfD5lgOl7RhA52TlUVjcyrEbP16Ut7OOot27LOLR3c3ue2M\niI+ZEh6jG8CQ8hpT8FtxcUyYW24BzjvP7HqpKGYjCVZh0kHMvIrZEUc4icWTISeHOtjq1akpZrm5\nRH7WrnX7mHF5dFZwrH6pZkcON7F2rf9mBD/n/61baUXHOd9YTtdRWC67jEIvbNrklDcnBzj+eJLO\ndZCVReVPRTHjdqGWecEC/dyl4xm5uVQvqSpfY2F8GI3Iy0uvYrbPPhRYdaQxnnwOs7P1TZl+uXPD\n5gHOhNLcHPy9xkZaXDc2OnPz5MmkevEOeFOsW0fkrqyM5k2OYdjVRcRsRBQzIcQZQog1ADYAeAHA\nRgD/Sn9RMgu/js0Z7BcsML/eSBCzdPg7sDP75ZenfKkEYgaEO5vn5JBf3957p66Y/fvfpHbu2BF3\nlQnQI0XJNkJMnEhqkZ+ZwU8x27bNSYK+aZNZDDLAP6ZRPG6WY7KszDu4xQGkbsocb4jSh/Ly0rOj\ncjT7E+1JPmbvvUe5fXUwmutlpOBXJyamTL/A2zrjDucEDkJjoxMXTc12MW8eESxTvPgiBfbl+KD7\n7efszhxpH7Mfg/zMVkspZwM4EcBrqfyoEKJCCPGQEOI9IcS7QogUYw8H45ZbgJ/+NPH9adPor0n8\nLAYP1Ecd5Uxqo3ngZeTnE4EMctDXhR8xC4M3vU0qPmYMlQRxZ9Tp6KWl5E9WUOC+HhMzP8XM62PW\n10crsepqkrs5k4Cu4z6gv6spCF5ixiRPl5hx0OLRHNJhpJCbm556sYpZNBQWjv8Fw1iHLjE78kjg\ny19OfP+ss2guDQLnBA5CYyONw42N7rkpijlzwwayXNxwg5NRZ999HWI20j5mu6SUjQCyhBDZUsrn\nQSE0UsGtAJ6QUi4AcCCA91K8XiC+9jV/H7Lp04lFR5kQeaBetMiZqDM98I42P5AoxExVLleuTE0x\nYxxxRMxVJkBvIi0pIVLlVfkmTCC52i/sh1cxq6sjApeVRZ91dZmlUwIyQ8yqqmIA9IkZD1rj3VE9\nSh9iU2aqGM0Lt9E2tqj4619HbrPUaK6XkYJfneiaMmtqKLaYFyecEB7SgnMCM5YvTwy03t5Ov+FH\nzJ54AvjKV8LLyFixwslG88lP0t999wXeeYf+7+oistjb607hlg7oELMWIUQpgJcA3CeE+BWAzpBz\nkkIIUQ7gWCnl3QAgpRyQUrZFvV6qMEkDpIInQZUgjOaBNxPwOv/rQK2vTZtS8zFj9Pc7/5uYMpk8\nqT5qAClmL70EfPCDiefk5TkpnwDyeWA/rIIC6qS//a2ZeVw3cnYQvMSM/Th045ht3hz9t8c7X7EM\nHgAAGhRJREFU0mXKDEuXZuGPGTNGzy5KC3/oKmapgHMh33MP+SdfeCFwxRVuQaSjgxbUjY3ujWDz\n5gF//CNw++1EuHSwdSv5Ig4NOXOF15RZUkJzIKUGTB90mvuZIMf/rwN4EsBapBb5fzaAnUKIe4QQ\nbwgh7hJCGE7vIw+/2EZjwccsnUhVMWtoiK6Ycb2fdhpQVBR3lQnQI2b8295OxQPMCSckniMEmcCX\nLaNj1T8tP59Mm4sXm8WpS7di9tprwPe+F0d2tr5i9uqrwFtjLgiOOaL0odmzgauvTu13pQRGs/gy\n2saW0QJbL4lIxccsFZSVkTXikkto/OU0Sw0NwO9+B/zgB0TMJk9OVMxOPJGy5Zx/PvD88/Te8uXA\nnXcm/71t22isV60I06dTGZqaaKxnMzuHgEoXQve6SCl52hoEcG+afnMRgMullP8VQtwC4CoA16hf\nuvjiizFreFtaRUUFFi5c+L6Eyg1jpI9zc2PIy3OOpczs7zFGy/0XFrrvX+d8ImZ0vHNnDPPmRft9\nimkTwzHHACtWLEd2Nn1Oq6T4cEfRu159fRzxuHN8wQVxfOpTQF6e//fPPz+OSy4B3n47hpYWYGCA\nzs/Pj6G3F9i4MY6NG4EFC/R+v7WVjrOy9O/fe9zV5ZS3uzuOurrlWLo0hpKS0dNexurxa6/Fh30y\nR0d5MnG8fPnyUVUeezx6j5cPb0tUPx8YSG380jnOzY0N74iP46mngMbGGPbaC7jvvjhuvx3YsIHm\no+3bKbh2QYH7/F/+MoY77gCefDKOAw8EHnqIjquq4qiuTvy9bdtiOP54d3mEAKZPj+Ouu2ghfN11\ncXR1bcSXvoT0Qkq5W18ApgDYoBwfA+Bxz3fkWEBxsZR/+xv9D0g5derIlmd344orpLzqKrNzNm6k\nugKk3GcfKT//+Wi/vWEDXeOWW9zvX3UVvX/IIXrX4bKYYHBQyrlzpVy2TMq77pLykkvo/WeekXL/\n/aWc8P/bu/Ngycr6jOPfZ9Y7wMQRmRq2gaFYBItlJigoAg5Bx8EQBCMiCZsaKIwCigUUaArUlJqI\nYBSLMqKEuECMJgohCaAwxCVsOhdGdpdLsTMg27BlcH754z2H7uk+d+7Wp8/p7udTdWv6nN5OP3Wm\n7+++73ved9OJvd4hh6RjuOuuiT2v2SmnROy33+Sfb2Y2WdtsE/G+95X7HuecE3H88em78vOfj5g+\nPeLIIyMuvjhi+fK0f9q0iCuvTLfz7+Vm114bse++6fYxx6THXXpp8fsdeGDEVVe17//IR9LP/Plp\ne9tt899HRHSoTup6z31EPALcL2mnbNdbgdu7fRydMGvW+l2ZgzbGbMGCiS08Do2uzKGhNF6gOb+J\nyLshWyeznUhXJqR1KY88cmLvPW0aLF6c5mJr7socGkoL9OZLU41XGWPMzMy6pRtdmbNmNdaqvOWW\nNO7r1a9O3Zf5qgDr1jVmSSia6HyPPdKQjZdeShc8LV8ON99c/H5PPFE8ZdG++8LVVzfGV8+atf44\n507oemGWOYl0IcGtpKsyP1PRcUxJa2E20fFWE5U3qdbF6aenfvuJyAuqBQvSwPmpjjEbGlo/l+22\nS3O1jbcwu/BC+M53Jv7+O+3UXpjlY8zyaVjGq4yrMut2rtSFcynmXIo5l3ZFmYz3qsypaC7M7r03\nXQyQr94yMtL4/swH6hf9Pt50U9h1V1ixIs3IcMQRjfHCrZ56qjHvZ7Ntt01TaeSF36xZ6UKAThpz\njJmkVUAAzRfSPw3cDPxtRIwx13u7iLgVeMNEn1c3zYXZPfeMvRCrNVrMFizozFWZrf/5jj4aHnoo\n/ccr0447wrXXpr/O8hUk8mJwomuQFk0wO1FuMTOzqnS7xez++9OVlnPnpoH+L72Upsm4//7GBLaj\n/T4+5JA0Mfkzz6SLAka7sGe0wmz27LSSQHNhtmTJ1D5bq/H8Kvhv4ErgL4C/BK4AbgEepTMXA/Ss\n5sJsxx0bKwmUJR+c2Mvygir/zzPVecyGhtpzGRoqf0LK7bdPf6W1dmXCxGb9h860mC1cuH63cj+c\nK2VwLsWcSzHn0q4ok24VZo88klq9Vq9ORdPcuemqzDlzGl2Y4ynMLrssfYdvvXW6Kv/JJ9d/zLp1\nqXAr+iM7f93mwqzTxrMC2VsjorkevE3SyohYkrWmDazWrkwbW3OLGUx95v+i5upuFGYLFzbm/tpy\ny/Rv/p6tC/SOpRNjzA46KP2YmXVbt7oyX3wxtZT9/vfpe7a5MGse8wWjdy/uvHMaB7z99mkqjJ13\nTpOdv+lNjcc8+2x6/aKlHFtXlymjBhhPlNMl7Z1vSNqr6Xkdnu+2t7z97Y1urG7oh/EOrYXZZFvM\n8teZPbs9l/nzJ7bO5GRstVVazmlkpNFSOtXCrJN/cfbDuVIG51LMuRRzLu2KMpk2rTstZtBoEdto\no1SYrV6dCrNjj4VlyxqPf3qUaeslOOywxjJLW2zR6CLNjdaNCe0tZmU0AoynxewDwMWS8g6aZ4EP\nSNoYKFiBcnC0LgdhY+tUi1k+6d+MGe1XxLzrXemnTLNmpRn/H3igMdg//w862a7Msv/iNDMrQze6\nMvM/4vOhI3lh9thjqcvx5JPTT260wgzg059uTAi/2WZpnFqzDRVm+fd8/u9kGxc2ZDwTzN4M7Jot\npUSsv3zSdzt/SDaafhjvkBdU+TJGU20GzieWrULeMpb/B83/gqpDi1k/nCtlcC7FnEsx59JutDFm\n3ejKhMYyc80tZq3TNu2ww/pdk62ax59NtDBrbTErw5hRSpon6XzgWuBaSV/IizSzycr/c031r42y\n/0rbkFNOWX87/+KY6PqhbjEzs17WrcH/0N5itnZte5F0773woQ+N73VbC7OI1BOSrzfcaubM1MCQ\nv2e+NFQnjedXwTeAZ4DDgfeQujIv7vyh2Fj6abzD7NmpZWmqLWYzZ1aXy0knrb9GWl5YTfQzeYxZ\n9ziXYs6lmHNpN9o8ZlUVZjC1OURbC7OvfQ2OOipNPltESr+/8p6SMiaWH09htn1EnB0Rv42I30TE\nOcD2nT8UGyTTpqWm4qm0mF1/Pey+e+eOaTKKrtop2rchZRRmZmbd0s2uzObCLO9unEq34mtes35h\nll8IcPjhoz9naKjxnlUVZi9I2i/fkLQv0OF5bm08+mm8w/Tp6T/VVFrM9t8//fVSt1wmW5h18out\nbpnUhXMp5lyKOZd2Vc5jBuuPMcvnGZvK75H589PyTGefnbafeALOO2/0MWaw/pRMVXVlngh8RdJ9\nku4DLsj2mU3azJnwqleVc0VL1Sb6mdxiZma9rJuF2dy56b022qjxx+xU1qrcddc0Ju1Tn0oXEqxe\nPfZ0S7NnV9xiFhHDEbE7aU3L3SNiMXBA5w/FxtIv4x1WrIC99oK99+7Magl1yyX/i268ymgxq1sm\ndeFcijmXYs6lXVVrZTYvw9c8oSykiWcna+7ctLg5pOExq1ePPvA/V3ZX5rg7XVqmyfgY8MXOH44N\ngre8Jf173nnVHkcZmuc1Gy+3mJlZL+tmi9mcOako6lRhBvC5z8Ell6SWs/EWZlV3ZVpNeLxDsTrl\nMtGiDBpfaPkcb51Qp0zqxLkUcy7FnEu7qseYDQ11tsUM0ooBS5akiwAef3zswqzyrkwzK1c3vtTM\nzMrSzasyy2gxgzSubPXqtGLAq8aYqbWyFjNJayQ9W/QDbNn5Q7GxeLxDsV7PpYwvtV7PpCzOpZhz\nKeZc2lU9j9mcOXDiiWkR8lynCrPHH08XEox1AVdlY8wiYoIr/pnZZLjFzMx6WbcLs1NPbew/5xzY\nZpupv/78+akwW7t2fIVZmRPMKvKVPGtEUtTxuMzKcO65aQ6d556r+kjMzCbuyCPTvJIf/GB57/HC\nC6n7cs2aia9HPB6/+Q0ceCDcd18qtjY05vfnP4cdd0zF3HXXpXnQTjhBRERHRgp7jJlZxWbMcIuZ\nmfWubg/+L8Nmm8HDD6fv47EuxNpnn8YFAgccAMcf39ljcWHWQzzeoViv5+IxZt3jXIo5l2LOpV1V\nY8ymT4dVq8p7n403Ht/4sm6Y4OIxZtZpHmNmZr3s6KNh223Lf59ddy3vtcuY6HuyPMbMrGJf/Sp8\n4hPpUm0zM6uGlMaxTWa8r+QxZmZ9wy1mZmaWc2HWQzzeoViv51JGYdbrmZTFuRRzLsWcS7t+z6QO\nnXWVFWaSpktaKemKqo7BrA66MWu2mZmNrQ6FWWVjzCSdCuwJzI2IQ1ru8xgzGxjf/jZ8/OMwMlL1\nkZiZDS4pTRw7mZUEen6MmaStgXcAFwEdXLrZrPe4xczMrB7q0CZU1a+D84HTgBIWM+hf/d63P1m9\nnovHmHWPcynmXIo5l3b9nkkdCrOuz2Mm6WDgsYhYKWnpaI877rjjWLRoEQDz5s1j8eLFLF2aHp6f\nGIO2navL8dRle3h4uFbHM9HtO+9ckTWdd+71h4eHa/P5vF3/bZ8v3h7vdq9/3461/Yc/rGDFivH9\nPl6xYgUjJYxB6foYM0mfAY4GXgaGgD8Cvh8RxzQ9xmPMbGD88Idw5plwxx1VH4mZ2eCSUu/Fyy9P\n5rk9PMYsIs6KiIURsR3wXuDa5qLMbNB4jJmZWT3UoU2oDr8OahBDb2huQrWGXs/FY8y6x7kUcy7F\nnEu7fs+kDoVZpWtlRsT1wPVVHoNZ1dxiZmZWD3UozLxWplnFfvxjOOMMuOWWqo/EzGxwKRshNpny\no6fHmJnZ+txiZmZmOf866CH93rc/Wb2ey4wZHmPWLc6lmHMp5lzaOZPyuTAzq9iSJfDJT1Z9FGZm\nVgceY2ZmZmYDb9q0NL7MY8zMzMzMKqaarNztwqyHuG+/mHNp50yKOZdizqWYc2nXz5m4MDMzMzOr\niboUZh5jZmZmZgNv1ixYu7b6MWaVzvxvZmZmVgcXXAAvvVT1Ubgrs6f0c9/+VDiXds6kmHMp5lyK\nOZd2/ZzJCSfASSdVfRQuzMzMzMxqw2PMzMzMzKbA85iZmZmZ9SEXZj2kn/v2p8K5tHMmxZxLMedS\nzLm0cyblc2FmZmZmVhMeY2ZmZmY2BR5jZmZmZtaHXJj1EPftF3Mu7ZxJMedSzLkUcy7tnEn5XJiZ\nmZmZ1YTHmJmZmZlNgceYmZmZmfUhF2Y9xH37xZxLO2dSzLkUcy7FnEs7Z1K+SgozSQslXSfpdkm/\nknRyFcdhZmZmVieVjDGTtDmweUQMS9oE+AVwaETcmd3vMWZmZmbWE3p+jFlEPBIRw9ntNcCdwJZV\nHIuZmZlZXVQ+xkzSImAJcGO1R1J/7tsv5lzaOZNizqWYcynmXNo5k/LNqPLNs27M7wGnZC1nrzju\nuONYtGgRAPPmzWPx4sUsXboUaJwYg7adq8vx1GV7eHi4VsdTh+3h4eFaHY+3673t88Xb4932923a\nzm+PjIzQaZXNYyZpJvAfwH9FxBdb7vMYMzMzM+sJnRxjVtXgfwGXAE9ExEcL7ndhZmZmZj2h5wf/\nA28GjgIOkLQy+1le0bH0jOYmVGtwLu2cSTHnUsy5FHMu7ZxJ+SoZYxYRP6UGFx6YmZmZ1YnXyjQz\nMzObgn7oyjQzMzOzFi7Meoj79os5l3bOpJhzKeZcijmXds6kfC7MzMzMzGrCY8zMzMzMpsBjzMzM\nzMz6kAuzHuK+/WLOpZ0zKeZcijmXYs6lnTMpnwszMzMzs5rwGDMzMzOzKfAYMzMzM7M+5MKsh7hv\nv5hzaedMijmXYs6lmHNp50zK58LMzMzMrCY8xszMzMxsCjzGzMzMzKwPuTDrIe7bL+Zc2jmTYs6l\nmHMp5lzaOZPyuTAzMzMzqwmPMTMzMzObAo8xMzMzM+tDLsx6iPv2izmXds6kmHMp5lyKOZd2zqR8\nLszMzMzMasJjzMzMzMymwGPMzMzMzPpQJYWZpOWS7pJ0r6QzqjiGXuS+/WLOpZ0zKeZcijmXYs6l\nnTMpX9cLM0nTgQuA5cDrgCMl7dLt4+hFw8PDVR9CLTmXds6kmHMp5lyKOZd2zqR8VbSY7QX8OiJG\nImItcBnwzgqOo+c89dRTVR9CLTmXds6kmHMp5lyKOZd2zqR8VRRmWwH3N20/kO0zMzMzG2hVFGa+\n3HKSRkZGqj6EWnIu7ZxJMedSzLkUcy7tnEn5uj5dhqQ3AudExPJs+0xgXUT8XdNjXLyZmZlZz+jU\ndBlVFGYzgLuBA4GHgJuAIyPizq4eiJmZmVnNzOj2G0bEy5I+DFwFTAe+7qLMzMzMrKYz/5uZmZkN\notrN/D/Ik89KGpF0m6SVkm7K9m0q6RpJ90i6WtK8psefmeV0l6Rl1R15Z0n6hqRHJa1q2jfhHCTt\nKWlVdt8/dPtzdNoouZwj6YHsnFkp6aCm+/o+F0kLJV0n6XZJv5J0crZ/oM+XDeQy6OfLkKQbJQ1L\nukPSZ7P9A3u+bCCTgT5XcpKmZ5//imy7/HMlImrzQ+ra/DWwCJgJDAO7VH1cXfz8vwM2bdn398Dp\n2e0zgM9lt1+X5TMzy+vXwLSqP0OHctgPWAKsmmQOeUvwTcBe2e3/BJZX/dlKyOVs4NSCxw5ELsDm\nwOLs9iak8au7DPr5soFcBvp8yT7DRtm/M4AbgH19vhRmMvDnSvY5TgW+DVyebZd+rtStxcyTz0Lr\nVR2HAJdkty8BDs1uvxO4NCLWRsQI6STYqytHWLKI+AnwZMvuieSwt6QtgLkRcVP2uH9uek5PGiUX\naD9nYEByiYhHImI4u70GuJM0L+JAny8byAUG+HwBiIjns5uzSI0BT+LzpSgTGPBzRdLWwDuAi2hk\nUfq5UrfCbNAnnw3gR5JukXR8tm9BRDya3X4UWJDd3pKUT67fs5poDq37H6R/8zlJ0q2Svt7UrD5w\nuUhaRGpRvBGfL69oyuWGbNdAny+SpkkaJp0X10XE7Qz4+TJKJjDg5wpwPnAasK5pX+nnSt0Ks0G/\nEuHNEbEEOAj4kKT9mu+M1A66oYwGIr9x5DBILgS2AxYDDwNfqPZwqiFpE+D7wCkR8WzzfYN8vmS5\nfI+Uyxp8vhAR6yJiMbA1sL+kA1ruH7jzpSCTpQz4uSLpYOCxiFhJccthaedK3QqzB4GFTdsLWb/S\n7GsR8XD272rg30ldk49K2hwgaxJ9LHt4a1ZbZ/v61URyeCDbv3XL/r7LJyIeiwypuT3vzh6YXCTN\nJBVl34yIH2S7B/58acrlW3kuPl8aIuJp4EpgT3y+AOtl8nqfK+wDHCLpd8ClwJ9I+iZdOFfqVpjd\nAuwoaZGkWcARwOUVH1NXSNpI0tzs9sbAMmAV6fMfmz3sWCD/xXM58F5JsyRtB+xIGmDYryaUQ0Q8\nAjwjaW9JAo5uek7fyL4YcoeRzhkYkFyyz/B14I6I+GLTXQN9voyWi88XbZZ3yUmaA7wNWMkAny+j\nZZIXH5mBO1ci4qyIWBgR2wHvBa6NiKPpxrky2SsVyvohdePdTRo4d2bVx9PFz70d6YqOYeBX+WcH\nNgV+BNwDXA3Ma3rOWVlOdwFvr/ozdDCLS0mrQvwfaczh+yaTA+kv4VXZfV+q+nOVkMv7SQNJbwNu\nzf6zLxikXEhXj63L/t+szH6WD/r5MkouB/l8YTfgl1kutwGnZfsH9nzZQCYDfa60ZPQWGldlln6u\neIJZMzMzs5qoW1emmZmZ2cByYWZmZmZWEy7MzMzMzGrChZmZmZlZTbgwMzMzM6sJF2ZmZmZmNeHC\nzMxKI+kPklY2/WxT9TF1iqTdJH0ju32cpC+33L9C0p4beP53s4kozcxeMaPqAzCzvvZ8pPVf22Sz\nYBO9O5niaUBejBV9hrHW0fsa8FHg5A4fl5n1MLeYmVnXZMut3S3pEtJM2AslnSbpJkm3Sjqn6bEf\nzx77E0nfkfSxbP8rLVHZcjK/y25Pl/T5ptc6Idu/NHvOv0q6U9K3mt7jDZJ+JmlY0g2SNpF0vaQ9\nmh7zU0m7tXyO2cAbI+LmsT+y/qypxfBuSb/N7lsBvGNySZpZv3KLmZmVaY6kldnt3wKnAjsAR0fE\nTZKWATtExF6SpgE/lLQf8Dxprdw9gJmkJWNuyV5ntJaoDwBPZa81G/ippKuz+xYDrwMeBn4maZ/s\n9S4D3hMRv5C0CfACaY3J44CPStoJmB0Rq1reawlp6bicgCMk7du0bwdSg+AVwBUAkv6FVJAREWsl\nPShpl4i4c4wczWxAuDAzszK90NyVKWkRcF9E3JTtWgYsayreNiYt/jsX+LeIeBF4UdLl43ivZcBu\nkt6dbf8RqThaS1pM+KHsGIZJa9M+CzwcEb8AiIg12f3fA/5G0mmk9UgvLnivbUlFXi6AyyLilW5J\nSdc1P0HS6aSu3Qubdj8ELAJcmJkZ4MLMzLrvuZbtz0bEPzbvkHQKqRXqlV1Nt1+mMQxjqOW1PhwR\n17S81lLgpaZdfyB99xWO/4qI5yVdAxwKHA78cdHDWo6p9RjXv0N6K/DnwP4Fz1k32vPMbPB4jJmZ\nVekq4P2SNgaQtJWk+cD/AIdKGpI0Fzi46TkjwOuz2+9uea2/ljQje62dJG00yvsGqStyC0mvzx4/\nV9L07P6LgC+RWtqeLnj+fcDmTdsbKsq2Bb5C6jJ9qeXuLbLXMjMD3GJmZuUa7WrFdCPiGkm7AP+b\nXaT5LHBURKzMxmPdCjwG3Eyj+DkX+G42uP/Kpte7iNQt+Mvsis/HgMMYZUxaNsbrCODLkuaQxrW9\nDXguIn4p6WmKuzHJjuu1LZ+p6LMKOBbYFPhB9hkfjIiDJc0Eto6Iu0Z5DzMbQOrdK9XNbFBIOhtY\nExFf6NL7bQlcFxGv3cBj/gm4MCJunOR7LAP+NCJOmdxRmlk/clemmfWKrvwVKekY4AbgrDEeei5w\n4hTe6q+A86fwfDPrQ24xMzMzM6sJt5iZmZmZ1YQLMzMzM7OacGFmZmZmVhMuzMzMzMxqwoWZmZmZ\nWU24MDMzMzOrif8H3PhhhhCGVlgAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91b1b49d0>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sr, a = wavfile.read('a.wav')\n",
      "plot(a)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91af03b10>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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C19Fz1loriO3HrUA2XT9RUP6PfmQuL3qNv/99vIBabz3+XtWtq9F7jwshEv2N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\nIo4+fczpcbtdcN+xy1QjB3c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rs2mX8CU+xalPh32f+bha3mxxDVVic07R06Yu55XB8uVa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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91b1cd650>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Audio(a, rate=sr)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source 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3PLbKOCZ6BXzyf6PCrkVRB1oICsegBemDREC2vcX8YnuPe/k8Zb23fxUBGMKPA0QDUkLqAn0CBgK/QzvDwAS5hOHFm0YRxjxFc4SnRByEDkRqRGiElwVqxhNGXoXPRXaE8MQSQxXCZsKeQ7bEcAUZhibHW0hKCLRIIAgVCFOIUIh8CF6IUYacQdH6kjKTbD/oNCbd56Wqca/6eAmCFosSkScTfpLr0OYNcsgqQet8LHgqdnC2DjaN9xt3iHhUeOh5eTnNOof7TXyUPlpAUUIoAyZDeAKYQT9+mHxCemi4w/gVN8g4zrrZfXw/DEBKQPqBFoFZwOw/t/5tvXq8sDvP+ys6MHk9eFy4NvijOhb8er7GgcAEqMbxCHWIlAerRVpCpH+DvRF7ZjqeOvG78L26P/OCOkOIBFGEIYO6wzAC6EL0Q2LEDITbxUPGJ4ZFRk2FlcTvBEmEaQQqhCEEUQTYhVOF74Ytxg8FxEVYxMgEoQR9BHNE+sW0BmDHKAf1iIBJaMlLCaiJj8l2h0lCjXpvsKYpeaXGJe4m++l4bux4IANdDTuS9BT11ECSm87wiSpCCvuMNwQ1IfT8NUN2dnbxd7h4prnnevB7vDyJPn0/2wGrAwgEuwT7w+qBpn8OvRM7M/iUtmy1MPXkuDD6nj0D/3EBMAKNQ6SD2cNEwiQ/x/37O866s7j5dw52OLXXNwZ5PnuCfzzCUIX8CH4KI0qDSYGHNcNOf9I8gnp4eNF42Hnre/e+g4HrxGxGIsacxiOFIoR4w8hD8QOOhAME0IWHBgcGDAWnBIoD/ANGw+jEaEUAxiXGjIclhyWG3QXJhFjCowFbQSeBScGUwbHCh4VmSCCKN4pJSejJCUnYCx5K+gas/qw19LAZ7i1sySrIaZYsqHRPveuFK4mgTL5OlQ+UjjeKTwWoAKA8R7mTOJY4gDji+GX4Xbk8Oio7bnwjPO89eb3HfuJACcHqAk5B2gCLf/j/O338u975r7eUdo+23ng/ec37172+/5LCbwRSRUyEsALCQTe+4zy/egP4IPZ49XW1q3cs+aA8kD+2wjOEpAbKSHRIcgc+RPnCHL+g/Yp8Zbtcutr7G7xSfq+BNIMBxIeFBcVpxVvFbsTUxCNDEoK8godDdcODw/KDgkPAhCjEfMTBBaGF9EX6hfdGJgZqxj/FL0QbgxECs0KuQzWD2MTbRfiGuYdzB8LH2octhrCG2gfRyLsHqQPLvS/1FK7zKyYpg+lialIuI3TPvhpHQA6hkhTSjFESjrwK9IWR/0X59TaB9gZ2ZDZS9qT3R/kAevG7wPyVPMI9Qb4FvxWAbcFwgi1Ce0J7QiMBfX+f/SS6aTg7Nvb2cLZQ92V5EPvTvvcBrcPNxQYFPUPLAmJAO71f+p03r7VodHl0orYnuCj6x/4FQaVE6ceoyXnJtAiAhrKDt4Cwvbu63DjAuAg4nnp3fMn/+0IUxD4FDUXSBeUFUsSVA57C2MK/wryC8wM2Ax0DCMMEQysDOsMxQ1zDhQQqRJiFaAWlBU4E6QQNQ5hDW4NmQ2ZDWUQoRRmGMMa7htXHIkcOByjGwwdLiPXK4kwVybvBgDa27G+mw+SsInzgjeNirK96jYgHkUwWbRirWM9WdtCwyNcAiXk9c29w73DT8mJ0FLYTOG96hbyWPaI+CP6Z/tB/Gv/bAUEDLgOgA1KCvUGswLM+eftFOLt2mvY1dgk3M/iau1i+TUEhwyXEVcTaxEqDL8DKvk+7TPh79aW0DPPadKi2XXlOvRBBIMTPCAQKoouniw6I2IV6QW89tHoud3W137YTt8B6674ZgZMEYwYUhujGxQaLxdjE4sPpgw9C8AK/woqCyQL+QkNCLYHcAmHDFoPABKnFPEWHBj2F8AVtRJ+EGwQhBGcEvkT6xVmGCYbtB3lHwogVh6PHUggwiW/KvkniBQ972bDy6PhlRaRS4xQjQuir8/JB901BFFyXplkUWHMUHo0tRLL8hPZVslHw/TEKcp20NbX7uHC7Nb0C/lh+y3+/wCfBPoIqw67EisTBxFtDmgMTAcu/eXvauQX3SbZi9c52NPb1eIl7o377gcOEFcTURN+EBIKRv+t8M/hR9bbzyHOXdHH2sToDPiXBtoT9x9cKKYqJSZwHGwQmQMZ91/rX+ES21HamN876Wv1KgGnC8cTDhryHgMihSIkH0Ya6xUZE88QVQ1RCS0GgAQ1BCIFLQfUCaAMbA8fE0kW3ReaFrQTeBDRDlMPOREyE8UWJhvfH+Ijjyd1KCAl8x2+F0kVlxEGCdL6Zuls1ovDJbRcrNGumLmayYDeNvoIGk41GEVmSaFEdzliKJASxfp75sLY89BYz4HTBtuX4lTpSPEY+fX+0wDHAGMBYQO9BVIHtQgSCl0Kdwi+BHYAmvrj8oXqu+SX4l/h6eDV4RfmXu3u9bD+ZgbMCw8OTg2hCqsFTf3X8tLngN/52pXaVd3z433tUPgjAwoNHRavG0QdnhkSE10KewEx+Ervpuf04qnipud78AT7/AQcDgoWiRygIBAhwR1OGJYSTg21CIwFQgMkAt8BFgN/BZAIVQx5Dw0ScBOCFIEVdRWDE4sQIg6sDE8MQQ7CEVwV3RjbG6EepiDLIdEgwR1FG4sa+xpwHashlySCHasE2N0Wt0ufaZf0lCeU6ZyvuzjuCCSpS69fvmXlY4Fa2UUYJ3QDWONazMXB0cGoxyDPqteR4T/swvUo/Kn/wAFPA5IEtwZDC8kQEhT6EkEPmgs5CP4CbvoF8P7lL9532frY7Nu94ATnjvAo/cEJvBFjFBIUnRFvC+7/aPGp42TZBNMG0cXUD9+P7fz8tApUF+MhHih2J0IgTxXbCBb8JPD+5WDf/twc34fm0fF+/gAJbBDSFeIZRRwGHOkZVRYTEpIO/gtECuEI9QbXBP4CbgP8BBoHdglDDFoP4RFpFHoWZxeaFpoVHhWuFK4UYhUvF90YCBrJGoQbtRwxHe0cRRwfHU8g1iNFJX0cQgNJ3Hu2RKA8mgSZ8pdEoCu+HfAtJEFJ2FpeYF5fyFUaQbAjsgNP5h/RcMYHxuTKwdHO2Zzj5u6W9238nf4qAd4DegRTBWoI1w3VEWQSLREoDyMMAgYi/XPzQOuD5N7ditik15TcGOVk7e71Uv8ZCWwQZBJBDyYIeP6Z8pTms9wV12bWrtoZ4//uSPyVCTcUGRxoINgfwxnpDzQFpvqU8LnnZeGA36ThoOeb76H5HATFDQsVUxorHocf5h1sGSUU9g4MCvwF0gLHAAwASgDGAbIEdwjMCy8OnRAGE0QUMRQfE2oS7hHhEWsRqRK0FPcW1xfpGJ0baR51HtwaphahFCoVbRcBG98fJyTqIZIPo+xexR6r7Z9bmvSUXJiLsGHe4RJDPDpT3VydXwpbcUsZMBUP5u401vPH1cTAyFfQS9n04j7tP/Yo/BT/lQAeAZ3/4v51AdUHnw1+EMMQwxDpD04NZQcO/hbyaObA3KvWBNRB1c3ar+Ou7of6IAeJEi4ZWRnaEs4I5Pt97bLeKtPozSDPmdVm4PnuDADjD5AbZiLiJAgjDRsiDp3/jPI76H/ggdzy3EbiIesT9lAB/gtQFEAZXhv0G+4ayxeJEr8MigdIBGICoQHyASkDxASqBjgJiAt0DWcOgA6mDZMNWw2GDYAN3g1BDkcPwxBqEisUWxaYGBoaixqxGQgZ9hjiGWUavBq2GpwcZyGPJmEh9Ah54IW5y6MzniKbcZX4mGm1NeivHJFAHFJIW7ZfVFy2SyAvbg2J7XPVb8iWxm3LcNHi17jfLuoI9B37z/6p/73+YP1Y/8oFSA4rEysTZRHuEBoREA3MApf0jef93vrZZtbY0yjVadw16JH1lAJBDtIW+xkjF2wPIgUx+Kvpgtte0NfL9M6X2EnmDfaXBv4VFSNnK/UsRSZ5GJ0HlvcI6kLeZ9XB0SjVn9/T7tb+2AyaFpwcex/LIG4fFBv5E/gLygWhAfT/fv4i/WD8xPxM/7ID9AifDTQQMhJ1FI0WNRcRFXgQ6wuvCEYGqwSGBF8GYwrjDjEUQBkrHSQfoh04HIkcMR7fHroeBR/qIO4kdSiSIsALp+V8vVyi7Zb1knqQ1JUbryPd3BC7OUhSvF++ZXVixFJsN3oWM/a0243KDsSExafJIM+M1mXhtezV9eT7o/9oAkgEJwfrCyYR7BNeEigP8A33DQsLEQLu9UbrMuRU37XZjdRu07zY+uKI7yj9HgrAFO8ZCBk4E7UIdPrd6WraOc8iy2XOhdck5cP0AwVjE/ge5yWWJoAgJBXoB9f7PPHL523fDNti3Afjwuzn9hIBJQqdEfcWIBsfHRkc9hcHEuQM4QjWBWICa/+S/dD9yf7yAMsD4gYfCboKEA2REM0T7BTzE0UScRGREGYP0gy0CgwK2QqsDFMPzhK0FKYWFBr3Hyck2yVRJtomwScYJ98fjwrG5kLAVKQMl2aSjJF2lwOuGthjCik0Ek56W11hd18PU9o6Bxto+obfw836xZDGxcrH0OjXi+G17AH2EPz7/jgACwE8AxoIdA1GEWUR7w+rDk4OmgtaBB75r+0S5fzfBdxM2NHV7tj14cHuW/sIBsoO7BPfFH4Qigcp+/rsyt9t1fPQ5dIy2ivly/ExABwORxl0IJgi2B/2FwoNswF993buBeZg3/jcOuAK6KbxmftBBQMOlBU4HPcgtyI8IJEaPRQcDvQILwPK/d/57Pgj+hX9zQBmBc0JjQ2FEM4S+RMSFJsT+hGxDzUNpws9C98LTg2eD9oSChdeG64d8xyWG/obiR26Hh0fECGEJXsoiB57AQfYzrNRoI2ZkJRVkDyaGb168kslv0b5V5VhhmV+X7BKOyvPB5/o+dEHxp7D2sbWzI3UdN7K6SH0bvsn/3YA+v8GAGICGgjRDiwSRRKkEA4Qyg/rC3sCl/UV6lLi993m2tXYS9n23lTpWPahAfIKLREYFO4RXQpl/8Tys+Zc3HPVdNR92fPjJPDw/IkJmxQfHXMh/SBFGxoRLgWa+ezvF+ex3/PatNuv4tTt/vn2BA8OexXVG2ggFSL3H0AaahOfDc4IKQQ//y/7XPmh+Xn8iQCkBV0KHA6QEf8UVBcpFl4SmQ2JCWYGCQSZA2AFzQmYDrsSehe2G3AdtRy2G14cYx03Hm4fTiF/I/olCyi0Jw4aj/j3yqWlwpTXkaaQmZCon1fH6P4eMaBQwl94Z51oLV7GRZEjDv9g30PJBb+hvlnDBMqU0lve++s+92X+dQKABEEENgOfBAAJuA3RDtIMugsEDS8OPgrgABT1hOtv5UbhjtwB2L3Ws9yT6A32rgBkCVkQHhX5EwoN5QHD9NLnBdw21LPSAdiQ4mPv1v1VDGAZmCL0JYsjZRtyD08CyfWe6r3gWNkt11zcs+YD8w7/8wkSFMIb9yCxIkIhMhxDFY0NUgcqAg7+YvrT+Jr5Ov3+AX4HEQzjD1ES/xP4FEQUGRJzDpsKWAfdBbEF9QZECd4MkBHrFska+ht3GzMbRRuWGw0cfB34HjAghiHiI5wlLyHeDe7rJsZcq/Sek5nzlbmZva8g2XYKIzP0TBxb02IqY4lXQT8xHsv78N5zzIvENMNYxdjKVdRG4a7uMfkg//gBPAOsAzsEQAY3CpMNjA6+DosQdhNWFFMP4wRw+JvuoOfV4bvaQtT+0lHaeuhr9tMASwm8ERYYrBe2EGAFuvjD6/bf4td/1onaM+IH7B75UghuFuUfCCMcIScaFBBaBOD4Eu445I3d+Nsn4fvqIPaE/ywI4hAhGSseTx+iHbcZPRW9EL8MPwjYA2X/efxb+0j8CP52AJMDhAfyCwER7BT3FtIWMBXCEQMOJQp4BrIDgAO9BgoNUBQzGvkd8R87In4kcSWqJCcjcyG/IJMhiyOrIlAUfvVyzWet7p1imTiWcZSbocHHNP1NLX5LEFs8ZOhn82ABS6ApuATm5NzN18HZvt7AB8bPzvLbAetF98L/8AMnBkAG1gXvBkQKKA8zEaoQIRAZEisURhE/CLj7SfAc6Cbi0txl2JjWotkA47nwRv5eCKUOHxMkFVESqAm4/Gnvg+O12lPWLdjj35Hq+vUwAkcP1Rt5Ik4hQBr7EEwHD/018kLoseDY3ePfF+d68fD7YQTTCpcRpRiCHR4e3BqmFqISLg8kC/wFYwCs+2n47ffl+ZL9NwEDBX0J9g5dFBAX5RUSE/sP3g3mCjkIIAcaCP8JVQ0mEgkYZBxpHmkewB7xHykhFyAFHnAdvx8WIRcg9RntCXft98pTsBCjsJ2AmjOdOrCF1loFvSzfRZ1Ucl5kYIRVbj0SHlr9FOF/zRTETsJ+xI7JUNLX3//uBPtKAS8EIQajB14IRAovDWYPNA8oDqsOFBE5EfILlAGp9iXuEOga4mncOdkM2ijfdOiF9F0A1AiADdAPNBAEDSkE//dy60ziN9xk2uXcyONe7Nv1jwCzDIAX+RwAHAQW0Q4BB5f+cvSk6iDjseAz4groHfDA+B8AWQYEDVAUkRncGpIYQxUGE+gQ5A0yCd4D1v4W+8D4gvjf+er7Ov7sAbYHSA5LEyoVCxVjFEQTwxDkDM0JkAgMCSoLyw0/EVAUuRZHGIsaHx0XHyQfYx6CHYkdMB96IPEfeRk/CEDqV8dVrbugmJvNlwObpK+L188GGi56R65X+WEXYzJWgTwfHPf6/d7EyyLC678DwoLIh9N34nTxSPy5An4GRAl8CuYJGAoYC2IMBAzSC2ENbA/EDlEJ2QAf+DbwQug64LXZxNY52HTdHeeS84r/UgiADtoS5hNBDygF//eE6zrhldoa2K7aFOLV6z73hwPvD54Z0x0AHIgVeg0VBUH83fIh6krk2+JW5UbrjPJD+uwAcQdUDioVNBn7Gf0XERUHEtcOmwqrBVcA8PsF+Xb4PPq4/Eb/8gFZBsALTBA4E/kTlRMTEi0Qnw2aC+0JzQlpClwLAw6JEqwW7xhAGXIadxxXHfobwxktGpwcMCAhIyYlniK0E1n1hM6Mr6ifs5h/kriReqMczLb+birFR5paX2ecanher0P3ICH+0N9Cymi/Y72zwAvIv9NL40HzP//WBQYJxwpjCtUHpAVaBScGOgb7Bv8JWg6qEIANwwYO/tv1o+yp4n3ZQtTe02XYw+Fc78P9ognVEWcX4xj/E30IEfnp6bPdn9U30jzUGNys6Dj3kQY3FLoe6SI2IHkYYA6mA/n4GO5q5P3e/d7a48/r1vTW/coEGAviENgV1xfrFQASvg0xC48JeAdhBNkAi/5T/ZL9qv4GABIBggHeAg4GbwqZDXMODw79DdEObA9BD7EO0Q10DU4NxA5fEIoRzxD7EFcTQRjVG10dwR0qH04hpSJ5Irci1iKwGi8D197Iu+mlpJ3xmGSVR5v4tefiuxKkNxhO0VvGYkVgiE/AMkAQ7O8n17TI8MIbw1fH9M+n3Brr5vcLAToGkAhFCE0GWgQvBAkFmAVfBh8J0Q3iEGwQNwtnA976QvLL6FrfOdjY1PzVVtxh6IP2KgJ2CjMRIxaaFaYNEgCH8ebkfNtg1tHV5tra5Bzy8gCeD8IbyyGNIOkZIBFYB2D8h/Ak5rHfpt4g4ozpn/I1/E4EMQvJEAsV/RZ7FQcSnw7YDBELJQkVBhYDaQCL/hT+Lf6L/mX+6P7sAL4ELAnMDG0Oqw/cEDgS1REUEVMQCQ/qDfANqw5sD0AQAhCLD7EPIBIRFn4aMR7LIfokoSjRK+It7i3NJ/oSd+2lwmGjLJUjkIOLlowkoV/N8AP/MFdNql4samJtiWF7Rowitv5s4BDLF8B8vVXAicYx0TTggfB5/QkFGggfCVgIiwZ/BbEFcgYOBzIJ/Q3UEm8UixDOCDn/nfV4603gsdZj0aHReda94P/uU/4eCpARHRalF3YTnQeW97Lobd5l2LfWJdo44xfwZf6IC6YWEh6zH2safhB/BRz8y/KM6Q3ikt+d4pjpHPLX+yIECwvQD48T+BXYFQwThg7HClgIhAfvBdEDugGJAFcA5gDlAT0CggGUAXQDawcxC58NxA6LEO0SoRTNFOATrxKKEaQPrA2hC64KoQqOC1sNJhEDF1cdqyIlJ9gqRyxTLPwrTisuI7oKz+K3uQygSZi7lYCR+pT3rafcqw9ZNsdNpVz2ZnJnF1mHPc4bFvu+3w7NZcRmw33G/Ms11dviaPG4/L8CjAV4BicGCAY5B4kJ8goLC0MMTBAFFXsVTQ+rBRb8sfOx6n/gz9cQ1DvVJdva5FryHwAkC9sRrRUjFgcRhQZQ+OnqheAl25zajN/L6E30EgB7C+sVkBwGHdIWTg0WBI37jPMU6z3lXuOa5mTtz/Wk/vwFNwu4DjgSxhRcFYMS1w7+C/8KVwrnCHgG9wPTAboAiQDyANMA5gAdAi4FcAkjDZ4P1RBxElYU+BRKFF0T4RIHEcQO8QyUDOsMswwEDQ8PlRQ5G5kgnSRpKLEsADD5MHYw9ypUF5nxCMRiopGTF49NiQmIZ5vGyHwAiy3ESUFcdmrjb0hlQEuUKA8Fb+UzzuTBHr9bwRPGP8+T3R/uKftDAoUF3AZGBnoEEARGBtQIJQlECdgM2hNOGIgV5QvBAKj32u5R5M/Y/9DIz0jU691S6wr7kAjPEb8WvhjkFmcOa/+07nLhr9lA13HZbOAt64L4IQbzEqgchyAMHbQUugqIAWn4Y+675GffNODT5Y/tLPZT/u8F3ws/ETYWixlmGacVBxHLDY4LEwkiBQUBLf4u/Sf+YwBiAhADVQM0BSUJCg1sDzQQhRAZElAUpxWtFfgUlRMtEekOrA2NDR0NzAxIDSEQbxTDGboeeCOoJwkrbC0NLy0ubCNGB9Ld67bBn9SVh4+wik2Sl7G84uYU7TluUcFhumsfas1YqDo8F4T1tdodyozCgMFfxLLLftc35pLzVPyPAL8CdAPrAo0CKQT0B1cKswsoDlcT/Bj8GA0Siwbw+9Hy9uhD3R3TAc8F0n3ZJeSy8WMAEA18FMsX8BeiE84IiPi46ELeE9rI2bPcfORV8Bv+7AqgFbUcNx78GA8PjATL+2bz3elZ4RDei+G36cTyHfu5AhgKZRAkFTUYnxiaFUwQrQucCe0IsAfjBHUCMQFjARcCswKmAswBwQCtAr0G+AqsDZIPlxHsE1sWWxesFjcVxxM4EvUPQQ6ZDb8M/gveDKkRNRgYHsQhDiR2Jq0pIiykLFAopRhJ+VHQy60InJWWR5IdkGacTsEB9X4k7kJZVCVhM2lCZFBO9SzmCSbsNNbsyKrD3MPmx6PPSttz6Ub1n/z0/9kBgAP3A2EEWQYMCh0MTg31D/IUxBigFgkO5QIq+W7wJOZd2krRUs/l08DbVubE81wCFg7mFDsYvhfCEYwEf/Tf5k7eH9oy2XvczeRb8fv+lAswFgwd+R32F4wOmAWF/dbzhuhB3zzd9eEV6uTxXPlcAa4J9RDeFkYakRopF0USAw7ZC64J/AW0AIz8evux/Fn+TP+j/5sAoANxCMUMsQ8BEWsRlxGJEpsTMRRqE5YSzxCFDwIQ2xH0EbEPeQ4tEDEUjBjnG60emSFxJQoq4i0JLOEbEfp20LevH58SlzeOpIl7mELBB/YVIydAOlOCYudqrGRwTQIs+ggu6hHT7sWAwcTCXccZ0BHdOeyu+Mj/+AGHAt8BEgEkAbgDQAcsCYIKnw0xFOMYFheNDUMBE/fy7rTlMtrn0BXNZNBq2Tbn+vWaAtkLwhKlF5kXsQ8xAabwzuOV21/YTNgj3XvmO/M9AcoOsBqsIP4eYhb4C24CiPnH7pfi+tk52ePfmOmS8wn9TQbXDhEWlhs9HnccyxZsD/8JvQYcBGMAO/x7+kH8AACmA6sF3AboByUJGApDC2IMlAzMCxgLewwhEGkUjRbYFkIX6RhyGpEayxfBE34QZRCjEVAUxRfzHBUjmSoyMBArrxKe6tzDiKvUn6+VRYvgjR+qGNx5D/0z0EnAWSJmcmecV+05FhfO9nvck8o7wrLBicawzgbay+fJ9R8A6gQDBUkCl/64/BT+ggHwA70FXgjqDTEUHBdXE+0Jcv5/9GXrtuJq2lrVZ9QH2KrgnO0Q/OgGWwzRDnIQ/A4OB9n4AuoP4Enc39sj3hnkPu4Q+18HkBKwGqIdWRmFD5kEW/t58+LqGuLZ3Ibeb+WJ7vT2Uv/iBk4NuxJhF18aQBpVFmURnw3MC+cIYQQt/9H7n/s6/roAPAPdBH4HVwojDVoOCQ7YDGIL2QrgCpQM9g5YEq0VAhmdG6gdlR2XGj0VvRD2Dr0PXhLfFS4Zdh30JJ0uszIlJt0Fj9vduCemZpzwkRSKDpTEuMHtuh34PPJPpF5AaMtkXE+KLuYKo+tD0/TEjcAbw5vI1NDr3CbsdPpIA+MFYQTGATn/yf6VAIcDAwXdBTgJeBBIF2cXbA/LA4L5NvFn6PHdZ9V70k7VVtz+5qT0gQKUC70P3BAIENMKyf7s7tDgitgi1jnY3t3Y54v0KgKfDqQZ6iBOIekYHQz/ADf4e+9E5cbc29lC3iPn5fDr+ZsB+gguD80UIRkmG2wZjhQCEE4O9ww+CQQDOv3S+pn7Tf5pAG4CUwVLCSkNpA9yEL0PDw5bDHULxgtuDVoPUhF8E8sWvRmWGzkbOhqfGKUXFhjWGUscYx5PINwjCymgKRoaOPcuzTuuXaDemjSTNo+EnnXI6P4bLMxGWFXUYG1ma14XRuIjQwFK5DnPG8PewA3FCM2Y1lLi8u+A/BsFeAcCBjYCsP/6/0gDBwejCCwJVguwEHsVERV0DOH/OvT066jkPN1N14zW5tsk5bTv9/qLBiEPlxHjDn0JzAKu+BrrNd6R1yfYv90S5R7vW/tSCDgTvBrHHbUcxhUSCkH9OvQY7vHnWeFt3+fjH+1S9nn99wIgCIYNcRLrFVQYyhjYFrQTPxEhECMNGgfP/wr7C/oD/C3+aQBCAxoImQ36EUQUaRTtEicQjQ1uDDYMCwyaC2IMIQ+uE8QYDRz0G1kavBrnHCQewR2iHeUe9iH6JQQqeyhhF2z0ucryq0WePZj9j6KM9J5ty44BGy39R9lZIWdpbHZhCkdrJKEBkOK4y0/AF7/QwsDIadK34Gjxvf5NBhoIqQfEBTUE3gO3BZ0HigdlB2kKRhA9FFIRRQhm/V/0De0S5W/cKNaA1e3a+eRb8ar+dgkOEFEShBFbDbIDRvWh5cLZT9T31HbaOOOi7jv8cAkkFR8dmSDNHd8VswuzAmL6CfKG6C3h195l4hXpgfB291n+eQVODQsVJhvBHX0cCBr3FjEUeQ/OCNMAVfo+9yz3zfi/+n7+oAMGCl8QbxUJGIwXexUTEmENEwn1BbgEfwX6BxEM6BG+GEoeWiH8ITQiXyOEJL0jSCFVIC8hciOQJbIg5gqb5Ay9HKSfmoSUUI34jh+pcNp4EAc4xk9qYMBsv21yXYY/kBsf+IrZOsTJuka7bsCIyI3T7eNZ9T0CgwgGCiwJ4gafBIwEpAY/CIQHqQdvC9sR5hTcD0EFC/qg8Ybp0N9T10/T49V73IHmCfNQAaYN8xOIFOgRvwzeAjvztuLv1t/SetQ42ivkO/I9AjMRMhyFIhUjCx4yE9AFGPn57mjm8N6b2/3d5uWO78b55QJjCrcPiRNVFlsXYhaVE/sPQg2tCxgKtwYjAxgAB//i/lj/aQAXAvwEowiBDGYPkRCqEEwQvg7MC0sJLAgACc0Kyw2wEK4URxiwGl4bthvaHCQeXB42Hx0gSCBuINch2yTOJfobPQFw2qa35KOAmg6TtI3tlrm2W+fRFys7slEkYhhs22g/VZ81oxH+7/fUR8OXu8i72MDryarXy+hK+OUC9AdvCnYK5wiwBukFbAawBgIGsAcdDJ0QAhDaCRgBgvig8DznF92G1QTTedWU3FvonPbeA9gMgxK0FNQS7AqL/SvuCOFG2HTU0dVc3ELnbPSzARwOGxmNIG0hFBvVEJEG3fyA8tjnvt/A3JLfF+bH7hL4ugA5COoNURIEFi8XWxaVE9UQxA7SDBgKJwYRAqT+YPxC+2f7vvy8/24D7gfZC9wPuxLUEz8SYA9oDMcK4AlqCYMJ6wvVELkVchkgG1cc8xzsHTEeaR0mHLUc3x7EIYQktCf/JsMZT/rt0KuuIZzDk0WMz4lVmYDBkPbOJVxGxVtKazRxmGfaTZ8q3QX55OTL87ySuC27ysJSztjdqO4v/IwEkAgxChkJQAYDBPcDYAUCBg4HbwotEPMT1RE3CokAMvec7a/iUtjm0efQSNWs3cnqs/mLBloPbxTYFvMTggr9+7XsWuB+2CjVCNdV3hvqJfjJBoIUbh8UJGEhWhg1DUkCGfcN7O7hC9wk3ITheOpy9ED+LQY2DO4QPRWMFwoXtBMOEI0NBAyuCiAIWgTgADn/vf7o/kz/SgB1AaADQAbzCVUNbA/cD2cOnw24DVoO4w5sDy0QDhHCEtgVrBelF/gV+BTxFbgXixr5HKAfTSKjJesoqyw/LpcjhgSk11+xZZ2dlEuMEIaNkLq0Feo+HSdBPVi8aHNwqWmYU/4yHA4I6/TPk8Cpu4+9t8PQza7btus3+YcChAfmCZAIeQW/A+oEqgbDBl8HoQqqEIgU4RLGCwsCzfgY71fkotlv0lfQKtP/2kLo4PdgBbEOghRbF4EVKQ0t/9PuDuE/2NHUCdaU3IHnwvWyBNQSYx4BJG0iZRqSDy8EwPhw7XHiiNuJ2rjfL+iG8sr8Rgb9DbQT3Re3GeMY+BQCEDYMHgqWCHIGQgPNAB8AiQDsACQBdQHMAesC9QU3CigOAhAIELEOIg5zDtcO8A3YDCkNhQ9qE+QXPxtXHBMcthuKGxobwxqwGtsbKx4VIg0mNiqTKlAe7v5C1ECwypxxlImMhYjhlSW9mfJAI65EplrnadBwOWjAT6Qt1Aku6SzPF8Bfu8e99cP1zbrb4utJ+gkEuwg3CrUJQAfjBQgGDgeRBtYGYwpMEOYToxHtCQsBfPiU73bkcdmb0lDRmdTN2wroE/eyBNcNPhPYFf8TmgvW/ebuXuKJ2ovXqdim3g/pGfe3BakSPxwvIbkfQRifDb8CBvgT7aniKtx82/Xgsend85L9eAYJDo8TjBerGAoXDBOYDhgL9AhlB1oFTwIlANv/iQDHAD4AsP8SAP4BpAXtCI4LQg3RDvUP7hBGEdwQng/RDigPXxDVEewTXBW5FoAXDxguGGAZGRwwH08ggCENJTYqGi4QK7EZtfe3zaGr65gvkL2JCYizmHrB//cYKBxIKFxXagNw/GVSTGIpvQW65RXNdr6quuy9kcQazvjbcewK+wkELAiVCQAJFAeYBS0GWActB4oHzQqFEKgTFBG7Ca4AfPgr7yXkcdkq0zbThdfq3vbo9PVuA8UNiRLaEu8Pgwk6/vfwouQK3a7aBN1r4kbrRfc7BT8S1RuAIEkfmBhODkMCtfYz67bhgtsG24XgcurP9UQAMgl4EN8VmBncGu8YiBR/D5QLgwhfBjUECwK6AHAAwAHrAm4DVQPeAkID9gQyCCoLewxVDX8PPxJvFFwV8hQxFNoTzRMeFPMT8xMyE3cSPhOIFcQYiRwEIMkj2iaaKdYs7S+DMMIlyAg23Yi06ZuFkqOLv4X5jI2tGuKsFxU//1edaC1yA296W5U7yxYC9FPX9MRXvcG9VMI8yhXWEuWx86T+nwS8B1gIXwdfBrYHHgpvC/ILSA4AE+QWSRbvD1kGA/yA8cblONq60cLOGNGw1/Ti2PGIAawNxhS4F1sWAhBaBMn1POeO3FPXM9je3TDnsvLV/78MbRhPHyMgXxpMEegGefxo8QTnc98X3XLgueeH8RD8xAVVDZwSkxalGBYY+RNzDnwKigjJB3IGxASZA0IDWwNhA8YCswHBAAUBLwOkBm8Knw1AELsSoRSgFW8VoRRdE6MRmA9aDukODhFLEtoSlRQuGFccBCB+JB0pmCypLrUw5jG5KWAPqePrtmea5Y5UiFiBPYU8o2XYpBAMOxpVWWfnc7V0KmMNQxIelPqU3JDGo7tyuhG/4MZj0aXfJO9u+4cCZgU0BpIF8AQ6BhgKNQ0JDowOXhL2F5EZ+RMaCPf7aPG/51bcddKLzUXQTNjC4iTvpP1DDK0VDxjsFIYOegR29/DoI92F1mzWBdyb5erxGv/+CzUX0x5hIccdxhQZCSL9IvJU6EfgKtzZ3Czj9OxQ+N4C5QvtEjsY+htRHYQbWxZZEOwK9QbwA1YB9f7p/RT+BgCgAkcFkQbJBhMIiArwDRQQyRCdEO4QyBHhEs0TwRPnEpcRIBGEEYoRTBGvEfMS3xXpGeUe4iN7KNcr1i27L98xfi0JGOzvM8QVpaiWPY6ZhpmGhZwKyh8AOi37SmtfzG0Ocg9mkUuzKA8FXeVAzuTAPr2zv+fFS8/A3PvrBvhY//cCmQSrBCIEkgVdCUIN/A7vD30SLxdgGVwVrgpN/qXzWepH4EfWGdDB0A7YqeIf7uX59QUIEEMVtBTDD/sGYfs47tXiXdvb2I/bZeK17Ij4IgVsEHIZrh0fHZMWvwzlAaL3qO0y5MXdxtwn4bHpjPO3/bAGhg5KFIwYzxohGr8W4hDZC14IzwbKBOUBz/6L/VP+MQDAAR0CTwIcBGsHHgs1DlMQlxE4EvMSrhM9FAwUMhP6EXcRRhEAEkUSLBLhEXYT8RY5G80eviEgJcUpWC/rMpctSBfS8IPGAajTl2KOzIX3hdacc8tJArAukUvJXsZs3XDFZNFIsCT5APvh9ssdwPm95MBExyXRL99w7kP6aQB1ArMC/gFvAY0CGwZQCtgMmA4HEoAXnRqHFtkLB/9G9Drr9eB/1l7Pd88b19viHu8X+oYEbQ7AFHUU8A3wA4/4a+wn4YrZfthP3cblC/A8+1IHqRJTGj8cbRiEEQAJyP/69cjs/+T23+PfROSd7PT1yf5GBgoNahNHGPUZhhjNFFkQYgwGCUYGuANKAVL/nf53/6EBjQM1BJ8EngUTCPIKbg0JD8MPOhDDEF4RZBK7EksSZRE/Ee0SKhWNFusVtBT/FKwXIBt8HpkhGiXxKecvezMkKQYKYt2hta+enZNyiSCBvYimrCXkIRqrP0VWD2d+ck1wKVuQOIkSJPC41LHCM7ucvA/DZswn2KDn2/blAaQFAwX+AroAJQALArcFighKCuQMfRKlGO8ZSxPiBtj69/B66NHeNNby0abUQt626+b4uANvCigONA/YDJ4FT/oG7ufjk91E2x3dP+Nr7F72OADHCmgV7RyiHZMXuA0WBCj8D/Mv6Dzeg9mu27bihOzh9lcAlggUEP0WGRyuHegaPRXdDsEJygUdAn7+PPvG+cz6hf1QAQkFXweQCLsJdQtCDb4NIw34C0QKuwkxCgsMmA5+EcEToBUuGLwa9Br9F80UXRPsE80UaBYuGXAdeSILKBouiDK5KdILuN5btiug2pbNjcCEr4ufrpvlsBq+P+FWyWdrcvdu01gCNnIPGe1c0gnCtrsGvVPDt80R3EzszPrRAzMHlwdABtgDjgGnAf0D4wVYCHQM8xIDGGAYqRITCQH/fvUh6wngt9Yw05jWCeB37Av5dAPACqsP1RFBD2YGx/g66hbfZNlk2azdfOV18KT9EQv3FkMf9iGoHfMSiwYo/J7zpOoI4ebaiNvu4uftMfjmAHEITQ/mFEcYGxkKFywSvwxFCL0FLwSaAqEATP+8/7oB6gMPBdAFXwYtBmwGTAeKCAAJuwheCBkJKgsWDicQ7hG7E/4VdBc1GFoYKRf4FMISnBLHE8AVvheXGkoevSOBKcgvHjGWJakHEN6luKehlpW1i/iEe45+sZvlLhiaPe5VG2d+cS9urlirNQ8PXuxp0ZrAq7k0ukLAO8vB2iDsmfsOBq4KtAqWCGwFTwLyADEBBAI7BDgJ1RBOF0cYVxOPCh4BPvcm7CHgR9Y90vDU/d2Y6oj44wUoD8IS1RHkDdwGXPrD6k/dZtbj1tPbiePn7Sn7rwgkFQse3SHlHhcWtApl/2z0D+kQ3p7WQdUx28DlYfJs/ksJiRIoGUod2h3JGtQTEQtbAzT+W/uI+cD40/m+/LoAygToB0QJlQm7CH4HsAaKBywIJwfQBe8FIAgLC7gN8A5sD/UQwRPSFYEWkxblFc0UNxQ9FeQWFhh/GQAcXB8tJHoqcDBgLI4VzuxHwnKmmZouklqHBIYTn5vRGAovNdJPGGIDcCxzdWPbQn0bffaE2IvDCbmmt8i8tcbF1OzlBvdnBIELTg3GC4oI4wR7AgsCYgKNA4UG0gz/E7gXPRXFDb4En/us8ezl5tp61DXVUNzF5+L0lAGnC4QRMhP1EAYKt/2J7nLgkdcc1dzXL9/Q6cf3+wYXFW4fOSQuIskZbg2VAO/0vulB33jXYNY93MXnkfQSAH0JRhGMF0wboxv2F5ARUAptBDEBP/+F/if+FP9cAZkEkAdLCT4JnQfvBd0EbAWkBl8HcQcsCIgKqw4TEo8TdhOoEyUUjhQFFYEViBVoFWIVvxY0GdQcex/LIcIljCswMucvWRop8uDG06rinVGVCIr9hhSdyc7bBx4yeUnZWQ1pWnCtY7pE/x3F+v3eSMoMvka798CNylrW7OQ59UIDmwrGC2oJqwXGAkoB5QE2A+QDsgSKCMoPIxYXFhwOIwNV+gj0yOyi41bcStt44Yrs8/egAogLPxEgEVYLMALt9ijqPN0E1GPR8NUD37HqN/hTBl0TVx2eIkEi9BvVEHoD+vaQ7H3jm9t51mzXc9+j6134CgMjDPMTZRoSHuYdCBo4E3sLqwQxALH9kvzk+5L8P/+ZA/oH2QrMC0MLuwnbCMIInAg5B6sFxAWQCEMMUxAAEzEUXBWsFmYYhhi5FrQTORFrERgU3RdFG4geMyQVLGA1kDknLhANdN5uth+gqZUnigGAkogusH7rECFeQnFVA2YTcy5wDFc+MOcIW+jIz0nA3LrZvjHI/tNy4VTymgKUDG4NMgkiBIkAeP7Q/WX+vf7mACgFKQ1JFcUXlhIHCKr+N/im8bjouN8L3E3gRuu7924CwAo6EHIQugqoAO/06ueo2kvQkc1P1HLh+O80/V0JgRXSH+IkbSIVGesLbP4J86TqSuR03o/atdpG4aPs0/gEAugHvwxkEqwX4hkJGK8SCwzDBoAD3wGJADP/w/5QAG0E2gmZDRwOdAzNCQEIvQakBXoDrQH5AN4CGgfrDGQShxYVGQEbtB25H1wfDRs9FXcRLREGEz0VrBbJGsQiRS8uNgMrHwmt3Mq5qqe9nLqO4IPTjhW5KPNZJCFBR1MpZPZvOGrHTlAnMQGj4mfL57zXuG+/vstF2WHoxvl2CscTRBOHDBAE6f2C+XD3XvbO9nX5P/8ZCeESPBcyE80JwQCn+ePyCOqL4aDd++FY7IL49wL/CiEQZRB2Ck3+gu+S4FXUgMskyWTPW94E8YcCGhHnHMIldCmQJV8aHgqz+X7rkeF82+HYE9nM3Azl/vAU/moINQ6wEGQSHhSbFDISQg1fByMDKgEeAZsB2QGzAVUC0QRFCPgL0Q2NDaELRAppCnYK7Qg6BjsEhgQaB48Kpg31EDAVnhlwHcYfyyAwH5wcQBoCGp0b4B0QIfolvisLKQUU8+1XxlutJKJVmZWNtYzvpiXaUxBzNX9JzVfLZfRp0lnuN7YR2PHI2RjInL1evGvE5tEh4TbxCwF6Dc4SXhGaC5kEhf5D+pX4Jfh1+aX8jQL/CYUPNBC0CpoCI/vW9MfumejT5Ybos/B6+wIGTg7gE3sVhBGpByX43+U71YHKOMbsxw3PjtzB7k8CxxNIICsnJCghI8oYewuL/Qrxs+a43pzaXdtT4E/nze4f9xr/ngbZC1oPGhE4EpYScRG3D1sN4Ap9CJEGpQRIA1wCCwJ1AikEvQaDCdIL3g3cDzkRthCMDroLcAmDCBoIowj5CawNqRKfGHUeNCNFJtknHSlOKgIs+y12MHEugR/K/ezR5K0om3KTqYryg/eQMryC+GcrTkgMWL5mIHLsaz5O0CMC/Trhhc1cv5K4B7wLyOjXYOl0+hkJoxGQEnIP4AmrBIT/EPtp+Sr6CP6HA48KFBA/EZoMNQT3+5H0De3/5MTfl+Hv6mn4RwWFD90XRB3NHQQWIAdN80jeR8ymwES+csNkzxbfpfL0B3EbVSncLawqNCLYFmQJMPqR62DgBtoZ2SrcLOOd6/v0ef24BMcKYA8ZElgR6Q6/DAQMgQseChoILQe8B3YJ8wk4CUsIJgivCOEIagmbCnsMFg7wDukPzxCvEfUQ3Q50DAsM3g1TEMgSIxbuGjYgfSUjKrAumjNZN3k2gCqYD5jp+8MGqUmZaY40iHqQva8C4OkPGDLjSEhbvGguZ0JRoy6sDbD0WeEl0TLGIMWlzJDYSuU78jT+RgYgCPwFHQP5AMP+EPzM+hb8KgFGB9ENthGQEZkNFAePAAv6VfGa55LgLeEP6TT0yv3dBcUNbxVyGWgWmgxZ/onuHN//0UjKSclxz7DY2uRa84AEmxSIHssgaR1/GKISVwri/hzyNufp4BbfQOFW5XLqKvDC9hr/7gdtDjkRIBFZECEQLg+gDGoIqwTrAgQDIgR5BdYGdwhdCnQM/Q0hDxsPgA4jDcYLxwr/CagJDAqzCy8OLRHmE24WnxgIGi0ahRlyGbwbBCCKJYcq4yx2JqgT9PYT2jTD3LBwoFiVBJrIsj/YEPyGGIIxkkjNV7VWxkWeLXUV6P9M6wzblNJv0jTXjd4u6Uv2jgFNBn8FvwJXAFP9m/j182HyQPVO+1UCUQnjDoQRARHkDfQIggFK+AXvhukV6R/t9vKO+cEAkAhNDz8SZg+wBxD85u6j4nHZ/tOb0gnWdN6x6mP4kgWkDxcWWhgcF/oSewxOBN76CfJl6xDoEOjd6Wvsoe8V9EP6fAC3BbUIHgo9C2IMxQ33DRYNxwqvCEAH6AYaB2wGDwUvBPAEvAe6CpQM5Aw8DYYONBCdEBUP5AyaC28LIwwjDYwOXxCcEh4VoBaZF0cYtxl3G0oekyETJlUp2iY6GpIEAeyk1unDZLNfp+mmEbb6z3HsqwXgHDAyWUEFRUM86SzuGl0Jzvee6cPgdN5y4cXnoPAd+qEB9gQiBY0DugDq+6P1YvBw7nXwGvXe+gsBawf3DC0RABKxD8cJXAJb+8j2kfTQ85H0aveG/LkC1Qe7CfoHbgLF+qbxxOgh4a7bBtrf3PPjd+3U93sBBgrpDxkTwhL1D/gK8AMo/OL0Q/Cc7UXs7uuJ7ULxivYj+w7/0wF6BGwGyQf0B3cInAiKCH0IfQg4CXAJOAlFCAcH/AVNBeME6gQuBZIFsAbbCIgL5A3KDycQZRDjD0cPyw1bDKcL2QvYDIANVA71D7USKRYIGSYchx9/IyYlkyHSFU4EVfAW3jrNBb/ltb+2R8Jh1RTrd/8TEjUhKCv7LSop5R6jEfcDgvh18EzsQOsy7XTxUfc6/aEAjgElAKT9C/px9ULxPu4M7szvkvMx+PX9AwSiCQoN8A1PDDgJ/AREAHr72vcs9mv2cPhb+5H+JAHZAVcAefwy9x3xmOp85QfibOFR46znRO5r9fD8hwItByUKuguCCtwGbwFO/MH3sfMq8NTtd+0378vyavdn/OwApgPwBDsFFQV6BEgDBALyAesCIgXvBvoIdgoYCxELzQk/CJEGAwUiBOoD8ATJBvQIHgvSDIAOfw+FD5IOIw0qDOAK1AmQCBoIdgmtC5gOARH5E8sXAByCHq0eyRpYEdkBzu1M2CbFpbiVtC27Csu84rj8QxWOKDU0wzZQMaklpxVPAxzyiOWY4JfhgeZL7SD1Ff2HA9wGGgerBIIAKPyI+Pr1pPQn9AH1u/du+yUAkwM6BsIHowhFCAIGuQLu/m38Vftn+078vf04AK0CIgS4Az0B6vy89q3v9uiD5J3iGeML5ovrefNO/C8E+QnFDI0NMAzCCL8DWv0S+EfzpvDm7ivvrfCS8wz3v/qL/nUBgANzBN0EOwV5BXkFKAUVBd0F3AbPBqQG3QXKBXMFFQU1BMsDNQRsBfsGOQgMCeAJXQpdClcJEwjDBhsGeQW+BIAECQVTBmsHzwdeCAwJ4Aq/DIYOtw8OEdsRExLiEHkPNQ41DdkL4QhUBEb/aPrP9cbwGuz86Rrr4O3+8Eb0EfnD/tgDcQc4CUsJ2wdBBRYDswEfAKT9SPs8+hb7FvyG/Iz8Iv0b/gH/z/6F/cX7Q/ox+eD4uvh7+b/6xPz1/jcBdAMDBYwFGwUcBGEDPQILAWX/Dv4i/Vr8EPs9+R/3ZfX18y7zuPLL8sTzIPYR+Rb8CP6Q/8L/1f/u/iL92Pqh+MH3x/fZ+P75SPvR/Jf+aQBcARECTwIqAo4BwQAGALD/Uv/u/uj+Of+p/xIAggASAW8B5QGgAqYD6gRmBn4HtQgsCWoJ4QjhB6QG4wRbAyQCpwHTAfcCZwRGBtsHtQkqC/4L/gtcC0oKcAkGCTkI1Qd+B5wIBgpuDJgOkRAUEaQP0gv7BhIB3vpG9NPuIOy260Xtre/Q85X40P0LAhYE3QSsA4EClQAH/7H93fwJ/Tr9q/2Y/Rv+Rv5s/sr96vze+7P6Mfmo9+f24faJ97r48fqY/eYAxQP1BZ4GWQbjBFwCfv5D+q/2ZvSl88TzWfXU9yP7kv2E/2MABQG0ABr/8Pym+tP4lvfO9l72g/ZR97v3Evgl+Ff4wPj/+EP5+Pln+7H9l/9jAaACNQRsBaQFYQQ2AsL/ef1C+1b52vcf+FD5L/wg/7MCkgUsCK4JVwqcCRMI0AUvAx4BvP/o/vv+1f8xAS8DFQVNBkwH2wcBCFIHtwUWBAoDYgJDAh0CMAK/Ar8DLgUhBg4HcQeEB3gHcQeKB6kHkAdSB5cGDgarBFUDGAFG/xX9Fvy4+/f7Fvzw+yL8jPzK/Hn85PtO+xb78foW+yj8f/2d/sP+fv5Z/pL99vzk+7/6wPkd+tj6kvwI/qn/NwFoAgQDrQKOAaP/NP0K+xH5x/ft9qP2Rfeb+JT6Iv0g/80A8gC0AO7/+/4o/Tb7Yvlj+Jv4gvm5+vf7D/3j/Sf+J/7E/Or7jfow+jb6PPsb/TP/dQG5AssDpgPMAscAkf5U/G76b/lJ+Yf6YPzo/mkBYQPdBHkFFQXLA/gB4f/8/bH8L/yM/Gz9Dv/BAFwCFgTjBBsFegTYA/4CKgKCAXwAGAAYALoASgERAnUC5QL+AkIDBAMWA5QCoALYAswC3gLGAikD6wKmAuwBiAHsAHwABgCw/7D/WP85/1j/kP/I/6n/hP8fAAsBPQIvA78D8AMJBNgD/gLGAXAA4v6Y/Zn8VPz8/Mr9J/9QAHUBSQJoAsYBfABs/i/8C/pj+DL31PYZ9x/4BPp5/Pv+0wAEAlUCbgKOARgAvf1C+yT5GPiW9//37Pim+rj8Af+JANkAmwCp/8P+ef2A/FT84/zv/eL+BgChACQBzQDh/wL+Wvze+rn6/foW/Lf9tv82AvcDAwUJBVQEFgO6AfT/NP4i/aX84/yY/WX+Rv9QAB4BugH4AR0CMAIRAtkBewH/AIIABgDb/4T/cf9r/4r/z//o/yUASgCPAAUBYwHAAQQCPQJiAnUCPQLyAXsBKgHsALoAxwDgAM0AJAFKAR4BGAGJACUAEgAlAHwArgASAXsBswHsAcYBlAH/AHwABgDb/x8ArgBDAboBzAFiAqAClALyAfkA4f+k/p794/xg/Bz8SPzK/ND9Af9dAFwBCwJPApQCswLlAY8ApP4o/cX75fqN+vf6k/sW/N38Zv3v/QL+kv0b/cr8vvwo/ZL9X/7o/mv/l/9f/2z+U/33+wr7KvqC+aH5XPpC+3P8NP0n/rb+yf62/if+4/1T/fz8hvx5/Ej8Wvxz/J/88PwJ/Zj9w/1G/nL+w/7i/tb+yf71/uL+6P4H/xr/Zf9G/zP/X/8t/w7/qv5l/u/9/P3j/Tr+NP54/sP+Rv+E/7b/iv8a/wf/hf5l/un9pP1B/RX9D/3R/Nf8Qf1T/bf93P00/uj+Of85/8/+l/6q/tz+Of93/+H/RADyAI4B/gELArMBSgFpAGX/G/6x/Ib7xfqB+t760ftH/aT+UAChAZoC6wLYAh0CJAHP/2X+kv3q/Mr8pfzq/IX9nv3p/QL+w/3K/Yv9/P1s/kb/HwA3AeUBgQJ7AuUBHgG8/37+Iv3w+yn7oPoE+9778Pwb/g7/AACVANkAqAAlAGX/eP6S/aX8EPzw+9f7EPyl/DT94/1l/hT/hP/6/wYAHwAxANv/nf8g/y3/6P5G/4T/+v9wAP8AdQG6AbMBKgHTACUAo//u/nj+Zf54/uL+Uv/0/0oAYwCPAHYAKwCd/wf/bP7K/Zj9Qf0b/SL9kv0n/sn+WP/h/x8AAACp/0z/9f71/gH/iv8YAEoBHQJhA+oDOwQvBKYDXALZAC3/1v0V/Yb8hvzq/OP9IP98ALMBpgJnA78DegP3AuUBBQExAIr/Lf/W/gf/Of+p/8j/z/8z/73+6f2Y/Uf9Tf3p/S3/2QCaAlQEQQXjBTsFAwQXAj4AU/7K/BD83vvE/A7+4f97AcYCpgMiBBwEWwOHAogB4ACPADgAPgAlAD4AggCJAAsB0wD5AGkAUAArAAwA9P8YAB8AYwDHAG8B8gFDAqYCjQLSAoECQwLfAUMB2QBQAGMAVwB2AI8AfADyADEBzAH4AVwCaAKHAoECVQJPAsYBYwHZAGkABgAGAM//DAAfANkANwEwAhcCNgLyAboBswFQAeAAiQCbALQAPQGIAcwB5QHMAZsBEgFwAMj/Dv9s/gj+/P2X/gf/wv92ABIBxgH+ATYC/gGtASoBoQCJAB8A6P/h/+j/RAAfAEQABgDV/3f/Of8H/+L+B/93/wYAlQBWAfIBMAJcAuwBlAGJALz/pP4C/ov9bP2S/Rv+3P6Q/z4AqAA3AQUBrgArAKn/X//1/uL+z/5S/5D/JQAlAHwARADV/1j/1v5l/gj+3P3v/Xj+IP/I/1AAugDmABgBrgBpAOj/nf+X/1j/d/93/4r/kP+d/5f/fv9r/zP/+/62/gH/FP93/7D/o/+w/4r/z/+d/53/FP8U/8n+l/5Z/iH+7/3v/S3+kf7i/mX/1f9EAEoAXQBEAAwAtv9M/9z+Rv7p/av9ef1m/Uf9c/2x/dz9QP5+/uj+Gv93/4r/iv8n/8/+yf62/uj+7v5l/37/AAArAFcAHwCK/w7/eP78/Xn9YP1z/e/9X/5S//r/jwDmAPIAqAAfAHf/z/5G/qT9c/15/db9eP7J/jP/WP9f/0z/6P5s/vz9mP1//Yv9vf1T/uL+iv/u/zgAGADh/zn/vf4O/uL+kP9r/5D/cf+p/2X/hP9x/0b/M/9S/xT/TP8z/z//IP8n/yf/IP8H/yf/Af8n/xr/IP/7/gf/B/8H//X+B/8B/w7/IP8n/wf/Dv8B/wH/B/8O/xr/7v4B/+7+6P71/hr/B/8t/zP/M/9f/0b/Uv9G/yD/X/8z/0b/Lf85/yD/IP/7/gf/FP/7/vX+4v7o/uL+9f4O/w7/Rv9Y/2X/kP+K/5D/fv+X/2v/cf9S/z//WP85/2v/Uv9f/2X/fv9M/5f/WP93/2X/fv9l/3H/d/+E/6n/iv+d/5D/d/9x/2X/iv9r/5D/X/+E/4r/nf+w/7D/qf+2/53/l/93/37/kP93/7D/d/+X/37/l/93/6P/iv+w/7z/sP/b/6P/l/+p/6P/fv+K/5f/fv93/2X/fv8//2v/fv9+/6P/d/+Q/37/hP93/1//P/9G//X+M/8H/y3/FP8z/0z/Uv93/5f/kP+d/7b/vP+w/+H/wv+8/8//nf/b/w==\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<IPython.lib.display.Audio at 0x7fa91aebaf90>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "start = 4000\n",
      "fourier_trans = rfft(a[start:start + 2048]* hanning(2048), n=4096)\n",
      "mag_spectrum_a = abs(fourier_trans)\n",
      "log_mag_spec_a = log(mag_spectrum_a)\n",
      "freqs = linspace(0, sr/2, 2049)\n",
      "plot(freqs, log_mag_spec_a)\n",
      "xlabel('Frequency (Hz)')\n",
      "ylabel('Log amplitude')\n",
      "xlim((0, 4000))\n",
      "grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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53H03mRJNfFUFUqGY1dc7FTkWLdIjiTIEMQOAc84h1c3EiiBIFUDjUFxsFl05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\njsiYHRwAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91af43cd0>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sr, o = wavfile.read('o.wav')\n",
      "plot(o)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 15,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91add95d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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+Srx1717bgaeJt1BvRj3nvIWu2ExrS0g7N99cbXPkOiclIOy2UoPfAw8AkyYl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\nZlYjPwGJIzO6n+oO6AAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91aeba2d0>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Audio(o, rate=sr)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source 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\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "<IPython.lib.display.Audio at 0x7fa91adef7d0>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "start = 4000\n",
      "fourier_trans = rfft(o[start:start + 2048]* hanning(2048), n=4096)\n",
      "mag_spectrum_o = abs(fourier_trans)\n",
      "log_mag_spec_o = log(mag_spectrum_o)\n",
      "plot(log_mag_spec_o[:1000])\n",
      "figure()\n",
      "plot(mag_spectrum_o[:1000])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 17,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91b152850>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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y48W5YlFlrcniV1w98ghVY7c6V0rFd6/MuwXj8cILwBVX0PWgRTfHEtdcQ4nq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\n6/XX6XJoyHsIyto1ICgjsRNtwQK6DOu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+8z8pZ8mPc1VWZjhXVnic+nrguuuAr33N2H1m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\nAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91aeb3950>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Nki4DHs3mW5INoihM92uzVk6nUY1t22DatNqDXX59ihg8UcSo2IhijrEr4lqx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\n2Z+nxgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91ae67f10>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(log_mag_spec_a[:1000], alpha=0.5)\n",
      "plot(log_mag_spec_e[:1000], alpha=0.5)\n",
      "plot(log_mag_spec_o[:1000], alpha=0.5)\n",
      "legend(['a','e','o'])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 18,
       "text": [
        "<matplotlib.legend.Legend at 0x7fa91ad5bb90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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zc1gWFPfuUSsG20ml1BtPiJtuzlWqvAozM53bx8JschIKBYrF5m6TPLPxXRar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W98Q5iQpmAARcxFp1HJ6E/Djwl0dYS5GnmW5L1EsoQUx5QScBW8/AaevvlKwoVRJaRUEuN8WF5e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\nIiIiBfp/6g/zUG2peDUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91aee7110>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Source-filter separation"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$s(t) = x(t) * y(t)$$\n",
      "\n",
      "where $s$ is the voice signal, $x$ is the source or excitation signal and $y$ is the filter.\n",
      "\n",
      "$$S(f) = X(f)Y(f)$$\n",
      "\n",
      "$$|S(f)| = |X(f)||Y(f)|$$\n",
      "\n",
      "$$\\ln|S(f)| = \\ln|X(f)| + \\ln|Y(f)|$$\n",
      "\n",
      "\n",
      "$$\\mathcal{F^{-1}}\\big[\\ln|S(f)|\\big] = \\mathcal{F^{-1}}\\big[\\ln|X(f)|\\big] + \\mathcal{F^{-1}}\\big[\\ln|Y(f)|\\big]$$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_a = ifft(log_mag_spec_a)\n",
      "plot(cepstrum_a[1:])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/usr/lib/python2.7/dist-packages/numpy/core/numeric.py:460: ComplexWarning: Casting complex values to real discards the imaginary part\n",
        "  return array(a, dtype, copy=False, order=order)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 19,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa9194938d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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jgCN2BKk0bVrHHmWB5jB7duj5WSmWtNbT3h6Cp7wsXBh6hc+fX56nnXYKJezv\nvhve//nP5Y/ROOusUKqZJoXPstNOye956lT3X/0q/KaXWaY8fSwxfv75EOTNnJl06vnTn5JzXlos\nbU+L55hXXql+vESl9Lnmhz8MpbG1zpmVvUfTg1l4Ta9rSUPs/DN9ev2ai/hokKU5xI4l6eH44zt9\n2KAHNE0g1l1DDMRGjAi5+sc/Onfwrrhi0rNOalxsHYdDD609vV+/5O41lhbFkqxJk+qvL1aNpR+R\n8ac/ld+9xuqT2BU+DscckzwuQap+gKN7eYPhwYPDtL//PSkNipZZJmynltiVOl0qFUu/Kh+hUClu\ne621QknUvvs2Tl8UL70U7thRTBMmJI/YKLpDDw2PTYmP6GgUgLon57S3306mXXBBmHb99bWX+drX\nqtfb3h5uAt3Lm0VsuWX18vFRIlI4v1U+DzI+O2yLLZJpRx2VPN4nHYy9/XZS1V05vPFGeI1VrfHR\nNDNn1u9Z3pHnSMbnvkmhdLzRjXmtIfZmTneIOOGEDu9i9KDuCsSargngoEHhtVFDzDXWSMZjo+z1\n1iv/k9fvf1+aM0c666xk2q67Jn9NJIVDPG3aNGmllcJfUsS/QoqNXmNj+AEDqhvdHnigNGlS+Jsl\n9/KGsgcfXP73S/Evi2Jj7v33D68ffhga+bpLjz8ubbRR9ee+557ke4mNN7/85eqGnK+8Io0bV728\nlCy/8cbJtIEDw3Y/8Ynay1QaNUpafnnpL3/pWPrebuhQaeut884FlpZNN82vs0lPu/pqafXVO96Z\nJZ7TVl01mbbJJuG13jn6iiuqOzuYSXvskYxHjz5avfzgwaGxe3t7OL/Fv3I79dTwesEF4TX+UbYk\nLbecdNBB5etpbw/5fvDB6r9e+uQnk45Tv/xleF1++fA6YID0xhthPL5G6WvGk09K3/te8v6ww8Jf\n4KXbcO+wg7ThhmH8+99Ppi+7bPl6l1suGY/5SHeQ4L8mi63OPzTmJ/7XVvpHfvrp4T+6brhBOuAA\nacUVkx9ITD98ePXB+olPhF5LMejZa68QaEXuoXfXyy+H/xlbc03p979PeozNmhW2NXFiOHlJ4cR0\n112hJ1K09trS5z6XvE//D5oUThADB4Y8DxokHX108mOLadMnlUa9q+6/PwScjQLVGMzWEpdbb736\naeq54AJpnXWk/fbr/LIAmsdJJ4UA9P77O79sDFrrnYNWWKH8ZrRSvHG86676adI9cuO5MZ4rV145\nvB52WLgSEKXcAAANt0lEQVTZ3nDD5A+4axk6tPz8LIWb3XiDPGBAOMcvt1w45y+3XOhNu3hxOO/f\nfHMIDtdfX7roomQdn/mMtOOO0q9/Hd6fdVY4r6eDtWWXTc616f+RjN/duHEh2GxtTf47OV6j0v9R\nOW9e/c+H3q/pArF48H3uc9JnPxu6SceDdvPNw0F+4YXSQw9JN92UBFOV3fXjXdvqq0tHHSVdfrl0\nwglh2pQpYd3t7SHQ2nTTpCt/urv7iiuG12HDkj9l7d+/+g/GY1AVxTuteCe38srSN78Zxiv/7HbR\nImn8eGmttZb83UjSdtuF167eIcXvMh2QdlStP/QF0DvtumsYOis+7qarj4+I567KP+qu50c/kkaO\nlG65pXz6sGHS175WPu3DD0PgNWNG+fTK0v5588oDsRhcxnP+UUclaffZJxmPwVQM3PbZJ9xk77hj\n8iiLdI3NMsuEIOukk5LamWOPDYHquedKM2eGafG73HpraZddyrclhVoOFFfTBWLx4FttNWny5PCj\njQdpLKr9wQ/Cq1kSTFVKPyPpN7+Rzjkneb/uuuEuaknPbUqLz2zq1y9sr1+/JGhMF9tL4S5z3rza\nz3Jad93khyaFdXSl2qurz5XJEogBQKxW66lSmlVXDVV8N96YTBs5svr5b1I4544fn9w4p9eRtuGG\nSQlb5TPSGtluu3BtSldlT59evo7Bg0PNwUsvhff9+4eb8Xhtu+SSJG1cLp7Px49P5qUDsXj9QTE1\nVRuxVVctP/iiykAsrVb6Sh//eHlVohSqIo84ouN5i3dxsdh5m23C6w03hCLytMqqyrQVVghtvSRp\nyy3LH8bZGV29G43L1QpeAaCjYol/Z3W1NH/77ZOag1tvDQFPLUOHhmrEtJ12kv74xzA+aFD5DX5n\ngpw99qh+IPbKK5e38aqn1rUqXtMqa1mkcJO+447l6VBMTRWIjRlTXi8eZQ3EloZ4Mtl//+qqyY56\n9NGkurQzLrooabDaWfHkyR0WgCzmzu3acqecUt6JqqMOOECaOrVr2xw4UPr618N4PHfHUqil8dT6\nyo5gUu1rVQzAauWhvT35Nw8CsWJrqqrJxYulIUOqp8eDtNZdQ08GYvfemzSEP/roUPych3Tvm876\n4IPuyweAvqurgVhLSxjycOKJ5deYe+/teG/xzuhoIBaDwloFEOusk6yn1rUPxdFUu3fRIum886Qz\nzyyfHg/WjpSImdX+EXSHnXdOxg89NAy9TbohKQB0VVd6XuftwgvL36fP6Utbo0KDyvbEs2aFhv5P\nPx3e8/iKYmuqQGzx4hBsrbJK+fT4WLtK22yT/AFx9O1vSwsXLr089nZbbrn0AlUAfQPnkMYOPVR6\n9tnyaTvvLP3jH9Vp3cMTANJiG95YUsb3XWxNF4h1xkMPVU/73e+6Jy8AAHTF2WdXTzv44DB0Rmev\nieidmqqxfuWDUCOKZQEAfU28JnINLLamCsSI/gEACLgm9g1NFYjVKxEDAKCo6pV4cU3sG5oqENth\nh+ppK67IHy4DAIpr+PDa0+MfhqPYmqqxfq2Dcdasns8HAAA9ZYMNaveMrPfvASiWpioRAwAA6EsI\nxAAAAHJCIAYAAJATAjEAAICcEIgBAADkhEAMAAAgJwRiAAAAOSEQAwAAyEmXAzEzW8XM7jaz583s\nLjNbqU66K8xshpk91fVsAgDQN/Gn38WWpUTsNEl3u/v6ku4tva/lSkkjMmwHAIA+q9ZT91EcWQKx\nvSRdVRq/StLetRK5+z8lzcywHQAAgELKEogNcvcZpfEZkgZ1Q34AAEAKVZPF1vBPv83sbkmr15h1\nRvqNu7uZZS48bW1t/Wi8paVFLS0tWVcJAACQWVtbm9ra2rp9veZdrHw2s0mSWtx9upmtIek+dx9W\nJ+1QSbe7+8YN1uddzQsAAEVkJh16qHT11XnnBJXMTO6eubwyS9XkWEmHl8YPl3Rr1swAAAD0JVkC\nsXMl7WZmz0vaufReZjbYzP4WE5nZdZIelLS+mU01syOzZBgAgL6ENmLF1rCNWCPu/q6kXWtMf13S\nV1LvR3V1GwAA9HW02ik2nqwPAACQEwIxAACaGFWTxUYgBgAAkBMCMQAAgJwQiAEAAOSEQAwAACAn\nBGIAAAA5IRADAADICYEYAABATgjEAAAAckIgBgAAkBMCMQAAgJwQiAEAAOSEQAwAACAnBGIAADQx\n/vS72AjEAABoYu555wBLE4EYAABATgjEAABoYlRNFhuBGAAAQE4IxAAAaGK0ESs2AjEAAICcEIgB\nANDEaCNWbARiAAAAOelyIGZmq5jZ3Wb2vJndZWYr1UgzxMzuM7NnzOxpM/tutuwCAAAUR5YSsdMk\n3e3u60u6t/S+0kJJJ7r7hpK2kXScmQ3PsE0AAIDCyBKI7SXpqtL4VZL2rkzg7tPdfUJpfLakiZIG\nZ9gmAABAYWQJxAa5+4zS+AxJgxolNrOhkjaT9HCGbQIAABRG/0YzzexuSavXmHVG+o27u5nVfdKJ\nmS0v6SZJ3yuVjNXU2tr60XhLS4taWloaZQ8AAKBHtLW1qa2trdvXa97FJ8WZ2SRJLe4+3czWkHSf\nuw+rkW6ApL9KutPdf9Vgfd7VvAAAUERm0uGHS3/4Q945QSUzk7tnfrhIlqrJsZIOL40fLunWygRm\nZpLGSHq2URAGAADQF2UJxM6VtJuZPS9p59J7mdlgM/tbKc12kg6RtJOZPVEaRmTKMQAAQEE0bCPW\niLu/K2nXGtNfl/SV0vi/xENjAQAAaiJIAgAAyAmBGAAAQE4IxAAAAHJCIAYAAJATAjEAAICcEIgB\nANDELPMjQ9HMCMQAAGhi/OlMsRGIAQAA5IRADAAAICcEYgAANDHaiBUbgRgAAE2MNmLFRiAGAACQ\nEwIxAACaGFWTxUYgBgAAkBMCMQAAgJwQiAEAAOSEQAwAACAnBGIAAAA5IRADAADICYEYAABNauRI\n6YAD8s4FlibzJnlkr5l5s+QFAACgETOTu2d+yhslYgAAADnpciBmZquY2d1m9ryZ3WVmK9VI83Ez\ne9jMJpjZs2b282zZBQAAKI4sJWKnSbrb3deXdG/pfRl3nydpJ3f/vKRNJO1kZl/KsE00oba2tryz\ngAzYf70X+653Y/9ByhaI7SXpqtL4VZL2rpXI3eeWRgdK6ifp3QzbRBPiZNK7sf96L/Zd78b+g5Qt\nEBvk7jNK4zMkDaqVyMw+ZmYTSmnuc/dnM2wTAACgMPo3mmlmd0tavcasM9Jv3N3NrGaXR3dvl/R5\nM1tR0jgza3H3ti7mFwAAoDC6/PgKM5skqcXdp5vZGgqlXcOWsMyZkj5091/UmMezKwAAQK/RHY+v\naFgitgRjJR0u6bzS662VCcxsNUmL3H2WmS0raTdJo2utrDs+DAAAQG+SpURsFUk3SPq0pJclHVAK\nuAZLutzdv2Jmm0j6g0JbtI9JusbdL+iOjAMAAPR2TfNkfQAAgL4m9yfrm9kIM5tkZpPN7NS884Nq\nZvaymT1pZk+Y2SOlaXUf6Gtmp5f25yQz2z2/nPdNZnaFmc0ws6dS0zq9v8xsCzN7qjTv1z39Ofqq\nOvuv1cymlX6DT5jZHql57L8mYWZDzOw+M3vGzJ42s++WpvP76wUa7L+l+/tz99wGheeKTZE0VNIA\nSRMkDc8zTww199NLklapmHa+pFNK46dKOrc0vkFpPw4o7dcpkj6W92foS4Ok7SVtJumpLu6vWFL+\niKStSuN3SBqR92frC0Od/XeWpB/USMv+a6JB4SkDny+NLy/pOUnD+f31jqHB/luqv7+8S8S2kjTF\n3V9294WSrpc0Muc8obbKzhT1Hug7UtJ17r7Q3V9WODC36pEcQpLk7v+UNLNicmf219alntAruPsj\npXRXq85Dm9G96uw/qfo3KLH/moq7T3f3CaXx2ZImSlpT/P56hQb7T1qKv7+8A7E1JU1NvZ+m5EOj\nebike8zsMTM7qjSt3gN9Byvsx4h92hw6u78qp78m9mPeTjCz/5jZmFTVFvuvSZnZUIWSzYfF76/X\nSe2/8aVJS+33l3cgRk+B3mE7d99M0h6SjjOz7dMzPZS9NtqX7Ocm0oH9heZzqaR1JH1e0huSfplv\ndtCImS0v6S+SvufuH6Tn8ftrfqX9d5PC/putpfz7yzsQe03SkNT7ISqPItEE3P2N0utbkm5RqGqc\nYWarS1KpGPbNUvLKfbpWaRry1Zn9Na00fa2K6ezHnLj7m14i6f+UVPez/5qMmQ1QCMKucff4fE1+\nf71Eav/9Me6/pf37yzsQe0zSemY21MwGSjpQ4UGxaBJm9gkzW6E0vpyk3SU9peSBvlL5A33HSjrI\nzAaa2TqS1lNotIh8dWp/uft0Se+b2dZmZpIOVY2HNqNnlC7e0T4Kv0GJ/ddUSt/1GEnPuvuvUrP4\n/fUC9fbf0v79ZXmyfmbuvsjMjpc0TqEH5Rh3n5hnnlBlkKRbwrGk/pL+5O53mdljkm4ws2+q9EBf\nSXL3Z83sBknPSlok6djSXQR6iJldJ2lHSauZ2VRJP5F0rjq/v45VeCDzspLucPe/9+Tn6Ktq7L+z\nJLWY2ecVqrReknSMxP5rQttJOkTSk2b2RGna6eL311vU2n8/kjRqaf7+eKArAABATvKumgQAAOiz\nCMQAAAByQiAGAACQEwIxAACAnBCIAQAA5IRADAAAICcEYgAAADkhEAMAAMjJ/we8c1MAI+tslgAA\nAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91ae12310>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(cepstrum_a[:])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 20,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa9193d6e50>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x7fa9194671d0>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we separate the source and the filter by finding the first peak in the cepstrum."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pulse = list(r_[1, zeros(50)])*40\n",
      "plot(pulse)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa9192ff7d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x7fa9193858d0>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(abs(rfft(pulse)))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 22,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa919297390>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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GhxnYPkubi9XdEXFvd/eG7Qu71++WdKS7f/zf4qLuPkzuZyVdbftpSfdIervt\nu0Xn8/SspGcj4i+6lz+nzWXrMJ3PzU9L+vOI+FZEvCTpDyX9E9F5C9N8LXm2u/+isfvpfkq2/6U2\nj3v8i5G70zqfx3L1l5J+wvYlts+W9MuS7pvDx1k5ti3pTkmPR8QnR151nzYPn6p7fu/I/e+2fbbt\nSyX9hDYP5WFCEXFLRFwcEZdKerekL0bE9aLzuYmIw5K+afuy7q4rJT0m6X7R+bw8KenNtl/bfZ25\nUtLjovMWpvpa0n1+fKf7DVpLun7kfTAB23u1edTjXRHxg5FX5XU+p9P5/1ybv8n2lKSPLPq3BZbl\nSdJbtXnu5xFJB7qnvZLOl/Snkg5JekDSzpH3uaX7d3hS0j9b9DX0+UnSz+uV3xak8/l2/VOS/kLS\no9p8FOU8Op9757+mzSX2oDYPVp9F5+kd36PNM21/p82zyb+ynY4lvan7d3pK0n9c9HVVfjpJ5zdK\n+rqkb4z87+jvZHfOHxEFAABINJc/IgoAALCqWK4AAAASsVwBAAAkYrkCAABIxHIFAACQiOUKAAAg\nEcsVAABAIpYrAACARP8fv2pJmxN4SZMAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa919349810>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "filtered = abs(rfft(pulse)) *  cos(linspace(0, 0.5*pi, len(rfft(pulse)), endpoint=False))\n",
      "plot(filtered)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 23,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa9191bdd50>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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8WjAzn4qIfy/pBknHS7qSwgoAAPTdzCtXAAAAeLZWrtC+iIuL9lFEnBERN0fE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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9192d6650>"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(abs(rfft(filtered)))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 24,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa919166910>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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f+/GPF2DVKnnd2tqK1tbWavtcllihLC/9kN1+DGfLaghU29nSzNnSdFcKhTi7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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9192ac290>"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Separate source and filter:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n0 = argmax(cepstrum_a[1:])+ 1\n",
      "n0"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 25,
       "text": [
        "69"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Everything before that point represents the filter."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_filter_a = abs(fft.fft(cepstrum_a[:n0 - 1], n=2048))\n",
      "plot(cepstrum_filter_a[:1000])\n",
      "grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YSmnp2o+vWQMTJqR+/rRpsHjxus9PdP1JJ8GcOaWstx4cc0x6/z861nGy4xEj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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9191ae250>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(cepstrum_filter_a, 'green', lw=3)\n",
      "twinx()\n",
      "plot(log_mag_spec_a)\n",
      "xlim((0,1000))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 27,
       "text": [
        "(0, 1000)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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rGlpRUfCXv8BNNzmvf/fIu3lozEOEWNR4i5f0vISzOk4gJtr6tfNXTLsSXvHx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ku7LX78kf9300NOEA5FYrF4xWNi0VaithbjBRilNQCeGK68smX2AZAYr9aGWLzck5LC97TV1bhy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\nEV6CIAiCIAjNhAgvQRAEQRCEZuL/AWu7JBk2s8RxAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91903af10>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Everything after represents the source (excitation)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "source_coeffs = r_[zeros(n0),cepstrum_a[n0:]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_source_a = fft.fft(source_coeffs, n=2048)\n",
      "plot(abs(cepstrum_source_a)[:1025])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 29,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91900ba10>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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PWmg5DiOyKhkq+XO5kDCiBCtby5YB+/aFlwtBVWWLB/1YUtMuspVyXLHL9XC7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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9190ab490>"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "source_spec = np.e ** (abs(cepstrum_source_a)[:1025])\n",
      "plot(source_spec)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 30,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918f3d0d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Fzbn60Y+AY44pf0irWHH19NMmBIPgbmN3zmJQ58odO65+QerpUgrCXkiQHZs3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\nrwBtm1RDQwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91902b090>"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "source = fft.irfft(source_spec)\n",
      "plot(source)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 31,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918ede5d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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LK0xf6N//Tr4rbavy17/6NIcfXrmd2WuvJUXrH/uYn/RfecVP7qef7gGaWeXG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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918f69e50>"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "source_cycled = list(source * 500) * 50\n",
      "plot(source_cycled)\n",
      "Audio(source_cycled, rate=sr*2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source 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\" 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       "output_type": "pyout",
       "prompt_number": 32,
       "text": [
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4ZscO53TrVmDXrvDcRx85px9+GJ7ZvRvYtMk5v317eO6TT5zT6urwjCrw+efO+c2bw3Pe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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918f19810>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_e = ifft(log_mag_spec_e)\n",
      "n0 = argmax(cepstrum_e[1:])+ 1\n",
      "cepstrum_filter_e = abs(fft.fft(cepstrum_e[:n0 - 1], n=2048))\n",
      "plot(abs(cepstrum_filter_e), 'green', lw=3)\n",
      "twinx()\n",
      "plot(log_mag_spec_e)\n",
      "xlim((0,1000))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 35,
       "text": [
        "(0, 1000)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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7WfHwCi68cIE3Or2hCdGo2Ci6/tjVKfEVnxHP82uep9qn1Xhs2WPM3D+Tjec3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\nys2lf3x/ROWajRhB3//88yTixo6lqup/+Qs5mHfeSW6NS6iRr+mRIz0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3Rzte+fl0LzQ3\newMSFl67d3suj6vwuu02mqTAVFfTMT182G3wl5dHx6SkxJtsExU+tiktDS6UGmcAmYw4LpHteBUU\n0GBR6+hw5YABXgJ8c3Oi4+Uaapw6ldpdU3jxCgdVVbQ8jgt8XZmO19697n3FjBl0z5uDb/s+dTk/\nyRyvqio6rsOGUQ7uww8nfraqyhuMm6sSmJESjlIFYQsvrgn21FNU+sTMx77xRpq9v3cv5QlyP3Nc\nrbdg9jPrnon+wd2YrAuvqFDjo4/SY67hEgQLkmSuDOPieAHUQR51FPD97/st8fPOo+Ud4ggvV/s4\n2TZsx8vMU3N1vLSmkd20aV5Iz0ys15qKMZqwmOX1BZMJr7Dk1kwJLzvfbM8e4Etf8r8navmSyspE\n0WNiVrB/Y/Pqjm2x88o8vNofZlRWq8/2elBnEJSLyBMezPMa5Xix8OLO/9ZbgVtu8QvtKOFl5njx\n99nHKKqTPvJITwDyeqJKefli69bFC2sF8dpr7o4Ek2ylARf4Wi4s9O87L/QbJrwAL9xolvNYt46e\nq6mhbboKn2OP9bc1gwcDN91Ex9c1N6pPH/q+vDza9507o3OiTLgD7wzhFefasIUX4H4M7D6GHRxO\n5XBN/Rg8mL5/9Wp/qBFwd2UB7/v4PLCIc+0rJk6ktnnVKm8b5kxNID3Hy7w+xowJzldl8di3r3+A\nxpPivve98LSc8nJq81hgrV/v5QA+/TQJLYAGGu++C/z735RXuH8/3QMA8KFhH+rY3nMbnsP+tv3R\nP7qbknXhddVVwRZtcTF1DA0NFCb4yU+Su1o5OXTBRHXy7BYBwTct36CVlcBJJ9H6U9/9buL7XISX\nOTJLlYIC//RnW3iFOV6m6GlpoX0eNix5qDFo/4uKqMbWsceGO17J9sM11BjVANsJ9s8+C/zP/9BN\nyEQJL3sBYxtzlszyTatQUEA9q/0bFr/jJdafMvKUhO3s3p28IQ9yvFh4cu4d4LlHX/gCzU6zGTCA\nOn4eMfLvMkeQUcUtTTHLOWUVFf6BRlSocdw4WmVizhzqBLjRBzzhFSeRO4g47gwTt7RM0PfZjldr\na3Q5CcCbDczC69hjgRdf9O6TrVvjhdhMhgyhsIu9okcYLLwA2p/t2+M7XkDmhddLL9G6hK5we2o6\nfa4Okd1e8+CbP++y7BEzahSVoDBDjUBmhJfr71GK6mO9/ba3Db4uBw+m113EdTLHy+WzfG9wOJJ/\nP/erP/oR9THJ+sqcHH/B4fffJ+H12msUbuTl6tasIRNk+XKaKHLuueT2AUBN3xqM6jcKALC/bT9e\n3Phi9I53U7IuvGprgy3akhKapVFZSRfqo4+GhxB4BmAYZt5LkDtmOl7f+hatn2WHzwA3m18puhnS\nCTWargtA+252jGE3iCkYOK+DC3guXEjCJWh5DZPycrrwP/rRcMcrmfBycby2bXMLNZozdrjkh7lP\n6QqvEZUjUN2HLMCWfa1oVaRwzeO4Zc8WvLqZitTk5eQllJEA/DN5bPg4mYKxqYmcI7PUBztQJ57o\n1cExUYpGoizW+HeZv49zrpJhhhr5vghyvMI6FC64+vjj9N1mkcSiosw4XqmQjvAyOzLuXHjZnO3b\nw8tJAN5aek1NJFqqqug4vfpqeoMwIDURagqvPn3onMdxvJLNFLVTE+IybZp/lmMUQY5XXPFnhvaA\n4Fl9UQwbRiUo+F7me921LIb5Gd4f7k/iCPK+fUnYBJVp6NPHbVvJZjWmI7xMHnkk3KQww428esDE\nibT8E7f3u3ZReDEnh9IyTj6ZBpXcXs6un92xvafefyp6x7spWRdeySgupsausjK4sKZNpoVXSQmN\nVoNm37g4XrxP6TpegH/EaiY/u4YaWXgNHEgX9NVXk9gNSkI3qaigYz9+fPJZh2FJ/lHCi0tlRFn9\nH/4w8MAD3uPXaVUfXw0wF+EVlqCvlMLxQ48Hto8C7vsjWg6TijFDjWaY8fi649G3MDHrNEx4AX7X\n6+BBsuOrq70Q5KpVJGSiqnmPHu0XXnbORFQS9eDBXuPGhYlNx6uxkSx+O8HcRCkS5nwdmZ1icTFt\nK13HKy719V75h1QwhVd1tRcanDiRisxGhRrr6ylJ+NVXPUf5+OOBJ55IX3i5rkdrEuR4xRFefP7t\ne2vuXP8AorMJcrziTBIw38/3ZyqOl73s29ix9H8cx4v3g88Du0QulesZrhNpn8uamsQVKJKRzPFy\nmbjB1wXXojPDkUcdRY+bm8MFoNlmcd1BgO4bFlbcjg0dSu76qFHAzJn0N+AXXo+96016SkbzgWbc\n9MpN+Pbj38a9b96LwzoiPylLdDvhVVERPKvChouNhsHVvIHgi7yqikQVv8dc9NYkW8KLbwgzfm4K\nr7AGwxZeFRU0Gn/kEbo5r7giusEpL6ep/mF10sIcr6BQ49atXp2XTZs8azyMM84ge5mFdVMT3dxm\ngnlcx2vNGkrqNmdznlB3AvDSl4GmOjS1bU34DXe/eXfHe08bdVrg90QJL/NY8tJAptN0zz3UWCVb\ng4+xhdfIkX7hxeHDZNTUkPA6dMg7duZ+3HcfDTxGjw7fjxEjKD9w4kT/89whZNvxeu89CnOkCouU\nwkLqAF5/3S8oXYTXE0/QkmPsBpxwQmaElz1r2IU+fbz2gzu2OM5ZWImOOIIlXfjYBdVFdOFrXwO+\n8Q3623a8UhFe/Jnx4/3bcsF2vBh7ZnkY7PbZThsvfO1COqHG0lL6zXyN83JWAN0zp59O/XFYX2kW\nlDbddXNQyMKLBzEjRlC48U9/osdzjpgDBepA/r3+36H1vN7Y+gYm3DgBFz14EX76zE8x969zMee2\nOWg6kIZFniG6jfDi9ejizGjKhONVUeEJgeJiuhn27/c3tC6hRiD9UKNZ9Z7354c/9F4PG00EhRrr\n60mMuYYJKioo1BU2azRMeBUUUD6K2aCcc45XOJITsqMoLPQLpz17aIZRXMfLFF6LF1ND/K9/ec+d\nMPQEYCtNI9t2YBMO68Mdkzx279+NR995tOO9Hx/38cDvieN4cYV6s8zE5s0kCKNCFyNGeCUldu6k\nkaAdagy7dziUtnmzd+wqKkjM7dtH+2bmbIUxY0Zi/R2+JrLteKWLnTNTXe3vVPnvZKFG837nTunI\nI/3rDKbK5Zcnn/2ZDNPx4s46E45XtglyvOIIr+uv9/Il03G8WGix0xW3yK/5/fZ5iJocZsJmhD2w\nSbZsWhAuyfXJUIqcNb7G7bSV3Nzompfmgt9m3zxokCe8GhupHeNZqRUVtCj6G2/Q4GZgn4Ed6zYe\n1od9a+iarN6xGrNunYW1u9f6nn/y/Sdxwb0XQMexGzsBJ+GllKpQSt2llHpTKbVSKXWs9fpspdRu\npdTS9n/fibsjZlVfnvnAMx2CiCu8go7ziBHAf/+391gpb5aSmdCabceLb7Ko2k0mpuPFF++gQXRj\nRbkYDAuvMMcrLNTISZ5muJGTJgF34QUkLso6bRotX8LVk4OmvJvYpRL4xuZZmwAwZfAU5OymZM0D\n2I0XN77YIWAfeOsBtB5u7XjfEZWJyVeHD1NOoKvj1dREnaFZWHXjxsQFZYOorqbRIh/b2tp4jhfg\nLXZsCq+lS6l8iOtyMMkwFyLuSZjJ9Uwcx+v88711/zjkk4kZzoxL2oWJKbz4eogjvOLU6+pMgnK8\n4ggvwGv703G8TjiBzj0v/gzQfT99uvs2Mim8zFSAk08GTgs24gNJx/ECKOeK98MWe9xHhvWVw4d7\nfZo5kWfQIMpFbGvzBpD/+IfXZpeUAJ/9rFfm4swx3tIc972VKBL2te7DJ/72CTTup9FtaUEp5h01\nr+P1B956APeuutftR3cSro7X9QAe0lqPBXA0gDcD3vOU1npy+78fB7weirmIKguvs85K/v6CAk94\nnX8+cOedie+JcrwKChLXtWPhZYYxs53jxRd3nCUWghwvpWiUERXGYiZNAo47LnyR6bhLF3H1eK3j\nCS9z7Uh2vABg/nz6P8rxqqoikcFs2kRC2xReuTm5KFLttkDuATzw1gMoKqJt3/TKzR3v+8TYTwR+\nx9KlwP/9X/iIM8jxMp9zFV4DB9IokM+tWTVda7dCmbzmHh87HrW+/PIHV3jZjpf9d5TwqqigQpKA\ndz3GLRcQxuWXU10jV0zhxddDnFAj73s6tdEyQZDwuuIKKkDsCrf96TheQbiWtbD3Ix3hxe6lKbwe\neSTepIdkyfUuOV4AtannnEOiyIb7yLCozBFHeEWFzVBjfj61b5s2+dNkzFn4U6d6NRBN4fXg2w9i\na4s/IflrD38NyxtoxF+QW4DH5z+OP3/8z/jytC93vOeqx69C66HYdU8zRqTwUkqVA5iltb4FALTW\nbVrrID8k5uXox3S8XBqswkLglFOoI739dn8yNmMm8Lle5Nyh8QUCxBNe6YQX+Hv4gnzoIeCGG9w+\nG5RcDwD/9V+UrO7CN79JVZHt4qNPPEGVktvaooWXuR8HD1KoYMAACk1985vxHC8zEbOmhtZdO7bd\na40SXrNmkajhhas3bqRCfabwAoDCnPZeKe9Ae06XRlHRYTz9Dk1VzlW5+OykzwZ+BztqYcuhmO4W\n53iZLlgc4bV1q3dNm8d57166dqIaUNvxGjyYztHbb0eXo4iC71mX39KdMHO8GPMejionAdDC5GbR\nyUw6XrW1dN27YgqvZO6EC+nURssEQaHGyZPj5fPxcUjH8coEStH1Y5+HOMKL9z2dsh7pOl4AHdNT\nT018PhXHywzXDh9OfW6yAeTUqd7s9nEDxnVUsT946CBuftUbJN/5xp34w9I/dDy+/pTrMaNmBgDg\nhx/+IcoL6WJ4e8fbuHNFgFuTJVwcr+EAtimlblVKvaqUukkpZY+hNICZSqllSqmHlFJC28q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V5h1NWl3+GbndsHsQEtKvLnd7nCHfrevemHGhlznS1zBOzSObJYsUONK1dS2I1nvJjwCgDMzp2e\ncCsspNpgN97otn4mk2nHi6mqilcsd+3a1L//g0Imlv4qKfFW0BBSo66ud+VB9WYyMbB0gYXX/ffT\ngPq3v6Vc2ZUrvfc0NVEkwA418soyP/gB8MMfeu+/cPKFHX//Y/U/sKHJKAZqoZQqBzBLa30LAGit\n27TWseeFy7jXIkh4iePljimY0i0nAZCzecEF/v1iXIQXJ43bjhdARV2DctaGDKGkfna1zEWoWXgt\nXhxv4eRMCC/b8brnHtqvOLOjnngi9e//oPCRj1C163RoacnMvghCTyAT7ZsLffvSoPjss4EvfMH7\nvhUrSGydcQbNIOdalrt3+/uMn/2MBu+XXEKpMPn5wOI7RmJ6zn/ipcM347A+jN++8Fv87KSfJduF\n4QC2KaVuBTARwCsALtVa743zO0R4WYjwIoqL03O8gPRCjfy5447zC6y4wotz/UzHq6CALOe6uuDP\njBhBuQY/+hHlEppLMBUV0eOmJm+asguZWDiZR2x8bZ5zDjUeixa5b6Mr68z1FMaP9wrcCoIQTbaE\nF9d3BGhADFCZHxZeL79ME+9OO40iGjt2+PsMLoB9zTWU7zVuHPDVrwKVA34LXHIz8B7wy3/9Eoef\nPIw+BYHV1/MATAHwFa31S0qpXwP4FoDvxfkdvTLUmA4SaiQy4Xjt2JG+42Un1/I+uU7HHjmS/reX\np0gmuphrrgFuuIHO/c6dnvAqLKQbtrY2nojKRMOkFLle5jHNzxeRIAhC19IVwmvHDprBOGMGzTTn\nNIrXXiNnjGedB/Vj48eTWONi2E07i3BUv6nAcKDtQ23YecxOLFiwIGgXNgDYoLV+qf3xXSAhFgsR\nXhbsonzQHa/q6uBSC1Gws9O3L8Xi083xsm8au3BoFEccQf/Hde8GD6bfsHEjOVzsmBUVURhy2LB4\n28tUDkTfvl27HqggCIJNtnK8Cgoo1QOgCVLbtlEb39zsLwJdVua1+UF9xZQpVNB67VpKRxk/XuFz\ng3/Z8fotr92CKQsT9ZTWeguA9Uoprgg3B8CKuL9DhJcFd2qmc/NBTPCcOhX4+9/jf46P26BB3oLO\nqcDbsR2voUNJFLkKr5ISEs6prM82Zgzw1lv+UGNhId3kPMvRlUyNCEV4CYLQ3ciW45WfT6uZAJQ4\nv20bpYaw8Jo5k14rK/P6kCAxeMYZlKC/ejVFRaZNA0q2zfLNcFy6ZWmy3fgqgNuVUstAsxp/Gvd3\niPCyKCigE8Yd9fPPA9/4RtfuU0+Cb7yBAynWnu7sUtvxOu444Oabs1MAdPRoEl5mcj0Lwbh1szLV\nMNmhRkEQhK4mm6HGLVvo75YWGhTX15Pw2r4dmDiRXisrCy+iPmkShRnvv5/ygMePB1auVLjlzFsw\nd+zc0H3QWi/TWk/XWk/UWs9NZVajCC8Leyr5Mcd41b6FaDgfjh2iTDteAImxbAivkSNpsXU7xwuI\nf01kyoofNsxbFksQBKE7kG3hNXgwuV2lpdQ2NzWRAzacaqGirCx8cKwUzYxctIjaec75Ks4vxl2f\nvAsv/L8XsOjsGLOWYiLCyyITNXw+yLDw4mrzqR5LzhULElhFRdkRXkOHUg6AWUCVvzfOckFA5hqm\nRYuAD384vW0IgiBkkmzmeO3eTe3xoUM0AOYl3vbt88oHRQkvgCro799PwmvsWODN9jKoSinMqJmB\n+RPnd9rvEOFlUVVF0/SF1Dh0iP5n4ZVqqJFDvUEV1vv3D17rK9MMGwa88YZ/GSZ24FIVXp3dMAmC\nIGSbbDpegNf+l5T4hRdPeiooiBZes2ZRX3LkkZ6Dlq0KBpHdgMu6REqp3yilViullimlJnfOrmaH\nkhLKIRJSg4VXuqFGJuhGHjkSePrp9LbrwtChlONVV+cJwa52vARBELob2RZeffrQoL6khP7ev58K\nq1ZWelUIotYszs+n5PrRo+nvsjIvcb+zcRl/h65LpJQ6FcBIrfUoABcBuDHjeyn0GGzHqzOEV7bg\nchqma8eOV9wcL3buRHgJgtDbyGaoEfDqTJaU0KC4tJSS683JWLNnR7e3pjjr359cr2wQepgc1yU6\nE8Ci9tdfAFChlIpR01voTdg5XqmGGpmuFCo5OVQB2Sy+mq7jJaFGQRB6G9l2vEzhBXjr65qTsT72\nMZpZ78qAASTemM6s3xm1ZJDLukQ1ANYbjzcAqAXQkMkdFXoGmXa8unqiw4MP+m/edHO8xPESBKG3\n0R2EFz+fKv37+4VXZ+Z6Rwkv13WJ7PKUgVrRLME/e/ZszJ49O86+Cj0AO8crHcfrqae8gnhdiZng\n39XlJARBELobXSG8ioq8dpgT6dMRXrbjZf6daaKEV9C6RN+y3rMRgLnyXW37cwkkWftI6EWYjlde\nXmoV45kPfSgz+5RJ0hVe4ngJgtDb6MocL8Brj9P5/gEDqKBqaSlw7rneOo6dQehuOq5L9ACA+QDQ\nPuOxUWstYcYPKHxjVFR0fZiwM+AbO+5vE+ElCEJvpatDjUGFtuMyZQotk/fzn9PjrVvT32Yyohwv\nwFuXqADAOwAuVEpdDABa64Va64eUUqcqpdYAaAHw+c7bXaG7s2ABcN55VGelOzpWmUJCjYIgCERv\nEF4nnED/v/YarVbSmTMcI4WX1noZgOnW0wut93wlkzsl9Fz69qUFtgHg4Ye7dl86iw0bgCFD4n1G\nHC9BEHor2RpY8vcUFGReeA0ZAtx6K3D99VQ4O86MyLjI+FsQYsLLB8VBhJcgCL2VbLdvubkktjIp\nvADgc5+jaM2bb3bumrgivAQhC0ioURCE3kpuLk2kSmcyVdzvy7TjxQwYAKxZE135Ph1ccrwEQUgT\nqVwvCEJvJTc3u21bbi5w9tnAEUfQ43TKSNgMGABs2tS5k8NEeAlCFhDHSxCE3kpubnbbttxcYO5c\n7/G8ecDatZnZdv/+lGCf7qorYUg3IAhZQHK8BEHorXSF42UybRrwt79lZtvseInwEoQejggvQRB6\nK9kWXnGXbItDNoSXhBoFIQtIqFEQhN5KNoXXG28A48Z13vb79KEFt0V4CUIPRxwvQRB6K5WVwLXX\nZue7xo/v3O3zsnASahSEHo44XoIg9FZyc4GLLurqvcgMPJtRhJcg9HDE8RIEQej+iPAShF6CCC9B\nEITujwgvQeglSKhREASh+8PCK6yAqlIqVym1VCn191S+Q7oBQcgCUrleEASh++PoeF0KYCUAncp3\niPAShCwgjpcgCEL3J0p4KaVqAZwK4A8AUlqdUroBQcgCkuMlCILQ/XFwvH4F4EoAh1P9DqnjJQhZ\nQISXIAhC92bJkiVYvHgJAODFFxNfV0qdDmCr1nqpUmp2qt+jtE4pRBn/i5TS2fouQehu7NwJVFUB\n27bRIqyCIAhC92P/fqC4GLjqKuCaaxS01h3hRKXUTwFcAKANQBGAvgDu1lrPj/MdEmoUhCwgjpcg\nCEL3h0OMQaFGrfXVWus6rfVwAPMAPBFXdAEivAQhK0hyvSAIQveH1510rOOVUhjPKcdLKfU+gCYA\nhwC0aq1nWK/PBnA/gHfbn7pba/3jVHZIEHoj4ngJgiD0DAoKooWX1vopAE+lsn3X5HoNYLbWemfI\ne57SWp+Zyk4IQm9HhJcgCELPwEV4pUOcwEdUvYqU6lkIwgcBCTUKgiD0DLqL8NIA/qmUelkp9YUk\nr89USi1TSj2klBqXuV0UhJ4PCy5xvARBELo3BQXhSwali2uo8Xit9Wal1AAAjymlVmmtnzZefxVA\nndZ6r1LqYwDuAzDa3siCBQs6/p49ezZmz56d8o4LQk9CKeCee0R4CYIgdHc62/GKXcdLKfV9AHu0\n1teFvOc9AFPNnDCp4yUIgiAIQnfnyCOBb38bmD/fX8crU0SGGpVSJUqpsva/+wA4GcDr1nuqlVKq\n/e8ZIEEXlogvCIIgCILQ7ehsx8sl1FgN4N52XZUH4Hat9aNKqYsBQGu9EMAnAHxJKdUGYC+osJgg\nCIIgCEKPorCwi4WX1vo9AJMCnl9o/P17AL/P7K4JgiAIgiBkl+4yq1EQBEEQBKHXI8JLEARBEAQh\nS5x+OjBmTOdtP/asxpS/SGY1CoIgCILQQ1Cqi2Y1CoIgCIIgCJlBhJcgCIIgCEKWEOElCIIgCIKQ\nJUR4CYIgCIIgZAkRXoIgCIIgCFlChJcgCIIgCEKWEOElCIIgCIKQJUR4CYIgCIIgZAkRXoIgCIIg\nCFlChJcgCIIgCEKWEOElCIIgCIKQJUR4CYIgCIIgZAkRXoIgCIIgCBEopeqUUk8qpVYopd5QSn0t\npe1orTO9b8FfpJTO1ncJgiAIgiCkg1IKWmtlPB4EYJDW+jWlVCmAVwCcrbV+M852xfESBEEQBEGI\nQGu9RWv9WvvfewC8CWBI3O1ECi+l1PtKqeVKqaVKqReTvOc3SqnVSqllSqnJcXdCEARBEAShp6CU\nqgcwGcALcT+b5/AeDWC21npnki8/FcBIrfUopdQxAG4EcGzcHREEQRAEQegqlixZgiVLlkS+rz3M\neBeAS9udr1hE5ngppd4DME1rvSPJ6/8D4Emt9Z3tj1cBOFFr3WC9T3K8BEEQBEHoEdg5Xu3P5QN4\nEMDDWutfp7JdlxwvDeCfSqmXlVJfCHi9BsB64/EGALWp7IwgCIIgCEJ3RCmlANwMYGWqogtwCzUe\nr7XerJQaAOAxpdQqrfXT9v5Yj8XaEgRBEAShN3E8gPMBLFdKLW1/7iqt9eI4G4kUXlrrze3/b1NK\n3QtgBgBTeG0EUGc8rm1/LoEFCxZ0/D179mzMnj07zr4KgiAIgiB0CVrrZ5CBahChOV5KqRIAuVrr\nZqVUHwCPAviB1vpR4z2nAviK1vpUpdSxAH6ttU5IrpccL0EQBEEQegpBOV6ZIMrxqgZwL4U1kQfg\ndq31o0qpiwFAa71Qa/2QUupUpdQaAC0APp/pnRQEQRAEQegNSOV6QRAEQRAEi85yvKRyvSAIgiAI\nQpYQ4SUIgiAIgpAlRHgJgiAIgiBkCRFegiAIgiAIWUKElyAIgiAIQpYQ4SUIgiAIgpAlRHgJgiAI\ngiBkCRFegiAIgiAIWUKElyAIgiAIQpYQ4SUIgiAIgpAlRHgJgiAIgiBkCRFegiAIgiAIWUKElyAI\ngiAIQpYQ4SUIgiAIgpAlRHgJgiAIgiBkCRFegiAIgiAIWUKElyAIgiAIQpYQ4SUIgiAIgpAlRHgJ\ngiAIgiBkCSfhpZTKVUotVUr9PeC12Uqp3e2vL1VKfSfzuykIgiAIgtC1KKVOUUqtUkqtVkr9Vyrb\ncHW8LgWwEoBO8vpTWuvJ7f9+nMqOCN2XJUuWdPUuCGkg569nI+ev5yLnrnehlMoF8DsApwAYB+DT\nSqmxcbcTKbyUUrUATgXwBwAq2dvifrHQc5DGo2cj569nI+ev5yLnrtcxA8AarfX7WutWAH8BcFbc\njbg4Xr8CcCWAw0le1wBmKqWWKaUeUkqNi7sTgiAIgiAI3ZwaAOuNxxvan4tFqPBSSp0OYKvWeimS\nu1qvAqjTWk8E8FsA98XdCUEQBEEQhG5OsnSrWCitk29HKfVTABcAaANQBKAvgLu11vNDPvMegKla\n653W8xnZYUEQBEEQhGygte4wnZRSxwJYoLU+pf3xVQAOa61/FmebocLL90alTgRwhdb6DOv5apAr\nppVSMwD8VWtdH2cnBEEQBEEQujNKqTwAbwH4DwCbALwI4NNa6zfjbCcv5vfq9i+/GAC01gsBfALA\nl5RSbQD2ApgXc5uCIAiCIAjdGq11m1LqKwAeAZAL4Oa4oguI4XgJgiAIgiAI6dHpleszUWxM6FyU\nUnVKqSeVUiuUUm8opb7W/nw/pdRjSqm3lVKPKqUqjM9c1X5OVymlTu66vReAxCLHcu56DkqpCqXU\nXUqpN5VSK5VSx8j56xm0n4sVSqnXlVJ3KKUK5dx1X5RStyilGpRSrxvPxT5fSqmp7ed8tVLq+rj7\n0anCK1PFxoROpxXAZVrr8QCOBXBJ+3n6FoDHtNajATze/hjtJUPOBZ3TUwDcoCCnxJEAAANCSURB\nVJSS5ae6FrvIsZy7nsP1AB7SWo8FcDSAVZDz1+1RStUD+AKAKVrrCaDQ0zzIuevO3Ao69iZxzhcn\n2t8I4D+11qMAjFJK2dsMpbNPekaKjQmdi9Z6i9b6tfa/9wB4E1Sb5EwAi9rftgjA2e1/nwXgz1rr\nVq31+wDWgM610AUkKXIs564HoJQqBzBLa30LQDkkWuvdkPPXE2gCDVpL2pOuS0AJ13Luuila66cB\n7LKejnO+jlFKDQZQprV+sf19txmfcaKzhVdGio0J2aN9FDcZwAsAqrXWDe0vNQCobv97COhcMnJe\nu5agIsdy7noGwwFsU0rdqpR6VSl1k1KqD+T8dXvaSyZdB2AdSHA1aq0fg5y7nkbc82U/vxExz2Nn\nCy/J3O9BKKVKAdwN4FKtdbP5mqZZGGHnU851F+BS5FjOXbcmD8AUADdoracAaEF7qIOR89c9UUqN\nAPB1APWgzrhUKXW++R45dz0Lh/OVETpbeG0EUGc8roNfKQrdBKVUPkh0/UlrzasPNCilBrW/PhjA\n1vbn7fNa2/6ckH1mAjizvXDxnwF8RCn1J8i56ylsALBBa/1S++O7QEJsi5y/bs80AM9qrXdordsA\n3APgOMi562nEaSs3tD9faz0f6zx2tvB6GZR4Vq+UKgAlqj3Qyd8pxKQ9YfBmACu11r82XnoAwGfb\n//4svOWgHgAwTylVoJQaDmAUqJCckGW01ldrreu01sNBib1PaK0vgJy7HoHWeguA9Uqp0e1PzQGw\nAsDfIeevu7MKwLFKqeL2NnQOaIKLnLueRay2sv2ebWqffaxAq/vEWioxbgHVWGSq2JjQ6RwP4HwA\ny5VSS9ufuwrAfwP4q1LqPwG8D+BTAKC1XqmU+iuokWkD8GUtBeG6C3we5Nz1HL4K4Pb2wek7AD4P\nai/l/HVjtNbLlFK3gQyGw6B1i/8XQBnk3HVLlFJ/BnAigP5KqfUAvofU2sovA/gjgGLQjOTFsfZD\nzrsgCIIgCEJ2kBoigiAIgiAIWUKElyAIgiAIQpYQ4SUIgiAIgpAlRHgJgiAIgiBkCRFegiAIgiAI\nWUKElyAIgiAIQpYQ4SUIgiAIgpAlRHgJgiAIgiBkif8PdPVeokALDcUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918b4fed0>"
       ]
      }
     ],
     "prompt_number": 35
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_o = ifft(log_mag_spec_o)\n",
      "n0 = argmax(cepstrum_o[10:1024])+ 10 # had to do some minor manual adjustments here!\n",
      "cepstrum_filter_o = abs(fft.fft(cepstrum_o[:n0 - 1], n=2048))\n",
      "plot(cepstrum_filter_o, 'green', lw=3)\n",
      "twinx()\n",
      "plot(log_mag_spec_o)\n",
      "\n",
      "xlim((0,1000))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 33,
       "text": [
        "(0, 1000)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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1F15WrYH+Cq9VB1Zx1893OQjxjUc2csdPd1geQ6PRaDSamqLGhVfqsVSOFR4D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rlWCDELAKSUCwFcD+D/hBA1ACpAyywZhmkGKIsXCy+GYazxtAA2Q7gVXlLKkwDqZQUyCy71+F0A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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918e17d90>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "freqs = linspace(0, sr/2, 2048)\n",
      "plot(freqs, cepstrum_filter_a)\n",
      "plot(freqs, cepstrum_filter_e)\n",
      "plot(freqs, cepstrum_filter_o)\n",
      "\n",
      "legend(['a','e','o'])\n",
      "xlabel('Frequency (Hz)')\n",
      "grid()\n",
      "xlim((0, 4000))\n",
      "title('Cepstra extracted filter for vowels');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XVq24cfXxI/eUjRrFM9HnyAG4uXFDVUo7JhAIBIJshpWVFY4ePYo7d+6gfPny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n4i6k5Eu4noIBH9EKNtH3PbbUS0gIi+Mu9/6jEylxo5a/6enIiGx+jrY/P+IPM5S4joGBHNi3GN\nikT0JxGFEtFfRJSeiLYQUdkYbbYTURmL35EKQBVm3hP/T6ZGMTx7J4jojPlYCIAGCdOkoihJFfVs\nKYriKGmI6ID5+xkA3QAUBdCWmXcTUR0ARZm5EhElA7CCiGoAeACpj1oWwHOQciJ7zf3Y8hh9COCO\nua9UALYT0QbzsUAApQBcBvAnEVUz97cQQEtm3kdE6QE8hNQUbA+gKxG9ACAVMx+2uFY5SGmxaAhA\nKyJ6Jca+ohDH3e8AfgcAIloEMbLAzBFEdJGISjLzsXj0qCiKn6DGlqIojvIw5jQiEQUAOMfM0UXT\n6wCoE8MgSwcp4JoBwDJmfgTgERHZU5S+DoAyRNTCvJ0RYvBEQArCXjLLEAqpRRoO4DIz7wMAZr5v\nPv4rgO+IqDukBuVMg2sVhBhu0TCAhcz8dEqQiIJjnkBEPSDTqhNj7L4EIACAGluKogBQY0tRFOfw\nn8X2YGaeEnMHEXWGeIue7orxPRLPwhpSW/T1OTNvtOgrCMDjGLuiIM8zw3gqZn5ARBsBNAHwNoCX\njZpZyGQpY+wDRK8DaA6gpsE5JlvnKYrif2jMlqIozmY9gA5ElA4AiCgvEWUHsBVAEyJKTUQZALwZ\n45wwABXM31tY9PUpEaUw9/UCEaW1cV2GTAPmJqIK5vYZiCi5+fg0AGMgHrG7BuefA5ArxnZchlZB\nAOMh05WPLQ7nNvelKIoCQD1biqI4jq1VevKFeSMRlQSw07w4MRzAe8x8wBzfdBDANQB78MygGQFg\nsTkAfnWM/qZBpuT2m1c6XgPQFDZivMwxU60AjCWiNJA4sTcA/MfM+4noLoynEGGWq7jFbzL6rQSg\nHYAsAH4z/8aLzPwmET0HIB8zH7dxDUVR/BDy3RXaiqL4MkTUF8B9Zv7JTdfLAyCYmYvH0WYWgInM\nvCuB16gDoCEzd06YlIqiJEV0GlFRFE/ilrc9InofwF8AesfTdASA/yXiUh0BjErE+YqiJEHUs6Uo\niqIoiuJC1LOlKIqiKIriQtTYUhRFURRFcSFqbCmKoiiKorgQNbYURVEURVFciBpbiqIoiqIoLkSN\nLUVRFEVRFBfyf5R2fieOkdHUAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9187eedd0>"
       ]
      }
     ],
     "prompt_number": 36
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Different amount of detail can be preserved by using more or less cepstral coefficients."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "num_coeffs = [10, 15, 30, 50]\n",
      "\n",
      "for n in num_coeffs:\n",
      "    cepstrum_filter = abs(fft.fft(cepstrum_a[:n], n=512))\n",
      "    plot(abs(cepstrum_filter)[:250])\n",
      "\n",
      "legend(num_coeffs)\n",
      "grid()\n",
      "title('Different number of coefficients for Cepstral filter (\"a\")');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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FhdHg0CH2BwfDF1/AF18Qb4qn55qexJpiWffKOmytbFO0M/daMHbRNiwZ5oqX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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918b8d7d0>"
       ]
      }
     ],
     "prompt_number": 37
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "num_coeffs = [10, 15, 30,50]\n",
      "\n",
      "for n in num_coeffs:\n",
      "    cepstrum_filter = abs(fft.fft(cepstrum_e[:n], n=512))\n",
      "    plot(abs(cepstrum_filter)[:250])\n",
      "\n",
      "legend(num_coeffs)\n",
      "grid()\n",
      "title('Different number of coefficients for Cepstral filter (\"e\")');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Cdu7E+/ZhbBjtz5tbfiI14hLHjlpZsQIOHoR339WWqcaNtSIF+m/jxnpm+Tvv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f7v5vNv+/fTPOhLbLjoIip79cp5mmLvczUbWCppPam3BedLukXSLen+LwEbJDUA9wJfPZmBmJmZ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\n9YYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91ae83610>"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "num_coeffs = [10, 15, 30,50]\n",
      "\n",
      "for n in num_coeffs:\n",
      "    cepstrum_filter = abs(fft.fft(cepstrum_o[:n], n=512))\n",
      "    plot(abs(cepstrum_filter)[:250])\n",
      "\n",
      "legend(num_coeffs)\n",
      "grid()\n",
      "title('Different number of coefficients for Cepstral filter (\"o\")');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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dYsb58zRv0kQLcpWKFf/3P5L+qx5R8OObfFrBmQkuLlhaaIOcIdEhNPyxIV93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\nH39icGsxNeGRAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9191e85d0>"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Using the DCT instead of the IFT"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "DCT type II is used.\n",
      "\n",
      "$$X_k =\n",
      " \\sum_{n=0}^{N-1} x_n \\cos \\left[\\frac{\\pi}{N} \\left(n+\\frac{1}{2}\\right) k \\right] \\quad \\quad k = 0, \\dots, N-1.$$\n",
      "\n",
      "http://en.wikipedia.org/wiki/Discrete_cosine_transform\n",
      "\n",
      "The DCT is another type of harmonic analisys, but (for DCT type II), each harmonic is shifted by 0.5 \"steps\" within the analysis window."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "N = 1024\n",
      "k = 0\n",
      "phs = linspace(k * 0.5*pi/N, (k * pi *(N-0.5))/N, N)\n",
      "plot(cos(phs))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 40,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918e37cd0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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8vM0Wwk4F9gzs7+3aBm0F3gmQZDXwGmBZ1/cZ4OPAs0c8U0mSpKPIbCFsLqcQrwKWJtkC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\ngCFMkiSpgf8DCBL/thc012wAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918c032d0>"
       ]
      }
     ],
     "prompt_number": 40
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "k = 1\n",
      "phs = linspace(k * 0.5*pi/N, (k * pi *(N-0.5))/N, N)\n",
      "plot(cos(phs))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 41,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918db0bd0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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wArz0EixenH99/vl8B+fixXkdtNdee+9YsgTGjcuJWdeu0LlzPrp0ef/jDTeE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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918dc2c10>"
       ]
      }
     ],
     "prompt_number": 41
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "k = 2\n",
      "phs = linspace(k * 0.5*pi/N, (k * pi *(N-0.5))/N, N)\n",
      "plot(cos(phs))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 42,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918cd2990>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SinDXpLSczj8fHnggHRT+9a/njkblYv78lIRtsQVcfbVHZEm1ws76UonFCD/5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\nJmKSJEmZmIhJkiRl8v81RK4M4bKzxgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918d4ac50>"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This produces some assymetrical aliasing on the second half of the spectrum (i.e. it's not symmetrical like the Fourier Transform for real input)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "k = 1023\n",
      "phs = linspace(k * 0.5*pi/N, (k * pi *(N-0.5))/N, N)\n",
      "plot(cos(phs))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 43,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91898d8d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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rr9RpJFWa5IVYCGEAMBTYGzg0xjh2Pcf1A/4TaAbcFWNc50YAFmKqVXPnwsSJ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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918cec490>"
       ]
      }
     ],
     "prompt_number": 43
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "phs = linspace(k * 0.5*pi/N, (k * pi *(N-0.5))/N, N)\n",
      "plot(cos(phs)[0:100])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 44,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91892f750>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VagdjvWqBsEiSZrPKtB1TCLWODhJMeaNeJG3HbJYsdh5VoeJLmcP4OPDQQ7za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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9189d0310>"
       ]
      }
     ],
     "prompt_number": 44
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.fftpack import dct\n",
      "\n",
      "cepstrum_dct_o = dct(log_mag_spec_o)\n",
      "n0 = argmax(cepstrum_dct_o[10:1024])+ 10 # had to do some minor manual adjustments here!\n",
      "cepstrum_dct_o = abs(fft.fft(cepstrum_dct_o[:n0 - 1], n=4096))\n",
      "plot(cepstrum_dct_o, 'green', lw=3)\n",
      "\n",
      "twinx()\n",
      "plot((cepstrum_filter_o), 'r')\n",
      "\n",
      "twinx()\n",
      "plot(log_mag_spec_o)\n",
      "\n",
      "xlim((0,1000))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 45,
       "text": [
        "(0, 1000)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9VcBrf+FkZY1Go9Fo/tkIIe4GXgLuk1I69R+4fAu3vDxVauPOO+0OS08Hv0AP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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91895f050>"
       ]
      }
     ],
     "prompt_number": 45
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Pitch estimation"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(cepstrum_a[1:200])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 46,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa9190b1850>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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on4HfsMG+FxpUXH+9ZeFVLZPpDc5vucXqRCRTp9rvr1/fAoHBg926Wlxsf2Mn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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918947f90>"
       ]
      }
     ],
     "prompt_number": 46
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "len(cepstrum_a)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 47,
       "text": [
        "2049"
       ]
      }
     ],
     "prompt_number": 47
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(cepstrum_e[1:200])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 48,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91ae83490>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SdPZ9h7vrccYMG9LRuLFlLLxXbhcWWjmuvtq6o9wSyXytWWPfa5cuVuc88ohl\n17fbzn5PIDrg3sl6HXec/Ta77WZ18YgR0d/qiCMSy/795z+2bx5ySHRZixaWZbr66sze4mvlSuCO\nO+xzL1tmWR2nHrjkEssW7bqrZQvLy23doPoqErEs+gUXWH3t9n//Z/XYqFGxyxcutJ6dww6zc0eQ\n7bYDtt/e6hLH2LHWpXnDDXaMP/xwtHfEyXq5B67n5dlnqm32y8l6OUMyune37OUdd8Ru3+l6VLVh\nBOedZ1nn22+3/fb5522drbe289Ff/2rbOO006w494gjrbvXjnkC4sLAQBQUFf/4Lpa5RmwV96Alg\nguvxYACDPOs8AeAs1+O5ANr5bEubNFGdNi3a+vGz//62TjIMG6Z6xRWxy/r2tWzLqlXWaq2oSHx7\n339vrayKCmux7LBD7POFhaoHH1z9dcuX15xlULUW0FFHqX76qbUGVFWfflr17LPt70mTrBXjbeEc\nf7zqO++oPvGE6nnn2bKSkurR/sKFqm3aWPaxSxf7PKqqy5bZcme7S5ZYJqimjFYkonrMMao772wt\nN7cHH7SMwMKF8bfRr5/qqFGxy+bMsVZLSUn816pa5rFLF9ULL4xdPxKxrMeUKfFf/+67qocdFn28\ncaNlZlautCzmAQckLxPr+OUX1e23r9trly61LIHzu/bvr/qvfyX++rPPVr3rLstkXHVV8HqVldbi\n/fVXezx2rGqvXtaC7tMnuk7z5qp//FFzmdu2Vf3mG3t8992q115bfb0HHlAdMCD6+MwzbX++/nrV\nU05RnTAh8c9ZUWFZgvnzY5f/97+WgfMqLbW6wr0fDx4czYiedlo0M+FkxNxZ6M8+s+/LnRlXVX32\nWdVzzrF9yZ3hXbXK9rO//c3WccrcqpUdj3vvHdvSj+f001Uffrj68tGjo+950UWq99xj2Y3LLrP6\npbg4uu5RR6mOHGnf1zbbRLNVqlZGb1bNrXdv2z9uvtkylsXF9jmefTa6rzjatrX94cQTqx/3bmPG\nWN0ST3m5avv2qrNn+z9/1VWqF18cfxvJUF5un3/uXDsmli+3zFHr1pbhLioKfq2ThXTqK3cGT9X2\nhbvvtizZoYcGn0cmTVLdcUf7Ln74wb6/9u0t855I/TVggOp999nfP/1kx447G/T003Zuq6y0fcXd\nM+P45Rc7j6xfX/P7qdq23FmveCZOtOxe//72mt9/r/k1kYjqueeqbraZZb3rAiEyX2GDrzwAPwHo\nBGBzAN+1NOXrAAAaIklEQVQB6OZZ5wQA4zQarH0RsC1t3dp2ip49gz9sfr7qRx/V7Yvyuvlmq3Dc\nBg5UHTo0ejKprZ497YQ9fnz1ymHdOus28ab1d93V0u/du1v6OehgGDnSdpbSUuseXbPGTkBO5RyJ\nqHbubN0pjkjEuhuXLLGKc7vtbNmLL/p3SV11lZ0M2rSJPbjat7eDR9W6PICaT3avvGKfacECq2ic\nA+LXX61MN99sle3o0cHb6NzZv/I866z4XR2qVuG0bWvl8HPfffG799avt5Oc98TinBh69LDfOtkq\nK1WbNo1WpAsW2HvVFMSoWrncJ/GxY627KBHffWe/89q1lt7fZZfgffH7722/dfzxhwVaAweqDhkS\nXX7wwTUHCffdZyd8x/TpFjB79esX+1vMnKn6979bUHbllda1kKjx4/0bQhs22Hcwc2Z02cKF1ug7\n/XT7Tt56y5bvs0/0sw0dGg0YJ02ybhCvCRNsf3R3Mffvb4HRjBnWcHJMmWInkeees+BG1U68PXrY\n30OG+AeoXkVFdqytXVv9uYUL7bMuXx57fEYiqnfcYSfrb75R/eQTOw6dhmjv3taVpWp1zTbb2HCA\nIGeeab/bvvtGv6+LL7aG6nXXxa7bs6fV7y1aqK5YEbzNlSttnXiN4zfftG6nICUl9hndXa91VVpq\nv8/jj1tA5DZ4sO3PnTpZmVu3tjrUqU8TdeedsQ2itWutkXbZZbHDW4IMGGDl2G0323fffz/x937n\nnej57NFHo8MNHJWVqoccYnVyixbBAdYJJ0T3nZo8/HA0oKvJhg2qTZpYgz6RRrlj/XqrQ2rzGreM\nBV/23ugDYB6AIgCDq5b1B9Dftc6wqudnANgvYDvaoYPq8OGqxx4b/GFPOkn17bcT+2JuuSV+oHbu\nuRbQuA0bZuOBbrkldmxPop57zk7ODz3knznYb7/YbMvChVYhl5ZaRm+XXVS//NJ/2/fcY2OOVG0n\nGzPGKj73OK57740NKBYsiGZRIhHVnXayls9JJ/lH+0uWWCDobf337m3fu5NZGTbMTkjuk/Mdd9iO\n/NNPNo5h++2jn/XSS+15VauMnb+//NIq9oKC6mVZt86CEL8KdtYsa33FC0jOPtvKGWTxYqsojj3W\nWmunnWbLVO1znXee6vnnVw9AHn3Ufqd9901+1sux557R8REFBRa033hjza/7+98tq+goLbUMZ00t\nwYoKy0I88og9jkTs95s3z3/9Rx9VveSS2GU9etiJ3h2UX3pp9bFMXgcdFHsCjESskeA+oUciFigs\nWOC/jR9+sAxros47L/pZve67zzLgTz9t2a527VT/8x8rw5Qp9vibb+w4cPbNjz+2k4+q1R1ORszr\n3nujmWpVOwlOnWr7+hZbRE80Tz9t+97SpdYQqqiw/cDZB2bPtsy698QUiVjmsl8/C4R797aTv59I\nxOqeSy6xINDrtdesfunSJfaEOWaMBYZFRfab+GU53C6/3MbftGoV/b6+/97OPk88EbvuuedaYLb/\n/vG3qWo9JE7QsWpV9WCid+/q9bvX229b9tpr6lQLot3jnPyUl1vw07Sp1QcnnmgNTmfc8OTJ0QBX\n1YLGRLIyfoqK7PcqL7fHd95pDeV0WL3aGlelpTY20G/s8owZqnl58ceZvvOO1StXXKH65JPBAeh3\n39m+Fy8r6PXpp7UfextWRoOvZP0DoJ07W8XXr1/whz3nnMRThIceGk2V+jnySKs03ZyM1VFH2d+1\ntX69VZYnnGADqr2uuir25DhihOoZZ0Qf33qrpaT9XHll9AKAIUOsnLvvHrvOsmVWyTkHuLtrQdUq\ntjvvtBNy0KD1oUOrD+4cPNgq/+uvt3+VlVbZOAfhM8/YIMjBg+0E3K1bbBDodFeMGWOtTXfLqLjY\nKnjvxQ3TptnJKciAARaU7L+/nWjcXSElJTbQMl7rWdVOohMmWOt+yBA76X/0kQVt3bv7t+DmzbMj\nx8mApEK/fvbbVVZaUDF2rH2v3m4yrz33VP3qq9hlp5yi+vzz/utHIvYb7rabBaEbN0afu/ji2ABl\n4kT7jh55xAIN7z5y1VX2vTgXbajaut6ufbfFi+14cU4oQe+9YIGdxIKCXSfD6wTP8axfb/uG38Up\nqnaiOfJIC9Aefjg2C6ZqDYett449btessX2xvNyOi0mT/Le9Zk30d1y/PjYT3r59tBt34MBo3dWj\nh2VVDj00Nkjt1i02y11Zab/BgQdaBnToUAvW4h0DJ56oKmLBq5/vvrMsh7sBtGmTZXG2377mwFrV\nGox77GEXFbhdcUX1rPYdd1ggExQwel//0EP2ex14oAWvzvfuDKFw1wl+KipsPXcDNhKx+mj33S3Y\nOf98y9IPGWKfd+lSW6+kxI6Zv/41WpdGIvYb5Ofb8I2dd7aAI1l69rS6YMUK249qE5yEdfDB9lma\nNw/OFD3wQPzkSCRiXe+PPGLfa/v2dqGF2/r1tm8H1VnZpN4EX92724n9/PODP2z//qr/+19iX8wO\nO/i36Bw771z9ZDZvnr3OfdVjbTndcs7VX24vvGDdF44LLoj9PN9+axWb30nm5JOjwU5hob2H31VP\nF1wQvfrkppss2HK8/LJV+N6KsCajR1vl37p1tPIZN84Okk8/je1OWb3a0u/uk7Cqtfg339y/D98Z\nI+c+oT/zTM1dSRs22MHcq1dsUPvcc7FBZ6I++MAqBOdKGD+RiI0LTCQdXlc33WSZzsJCa+FHIpbS\nP+WU4NesWGFBtTdT+Oyzsfuc2xlnRLsgvPvca69Z9kDVWrXbbGMnxQEDLDjytuBHjbIgzu3jj2PH\nzHkNG+b/G7/+uo1VdLz8cvxGmar93s7VrPG8+qq13uuqosKuHvSOSdpjDzsm3BkeP7ffbg2TSZOi\nYzdVrYvsk0/s7z59oiftQYOsi7F589hg4vbb7bf44w87GV56qR2jtam37r67+rirRDz3XGz3cjz3\n3GN11VNP1bzuyJG2rrdR7OfFF23/PPRQC3jee88adqtWWRCX6BWh551n9ZXju++idfCCBfbcPfeo\n3nabnZtatbKgtUcPO794f+tNm+x423rr8Fctez32mCUgBg60xng63XKL1UXxeqZq6/XXrQfD6e2Z\nN896Rs45J3W9CslUb4Kvnj0t7Rxvp7rxRmvR1aS8XLVRo+BKtrLSAgFvmrKszF639941v0cQJ6Xu\nbk05iopsrIPD6QZ0OOO2/Prw3RcblJZaH7dfq+q776xVWlZmQcm4cdHnli+3siVyknL78cfqwV4k\nYieMpk2DL6V3mzPHXh90UM2ebV06zmXP116b+GDxmTPtIHZaZEcfndhATT9LlliwkUlPP20XCVx4\nYTSoLC21BkNQV/qbb0aDJbfiYsv0uLNaqlbRtWtn+4kfZxxXcbFlNWtqiW7cWP17W7HC3ts5kZ19\nturPP0efdwbpezndHM64twEDrFUdj3dAfhDvybYu/PbhCy6wQOC00+K/dsUKa8Rce23s8XThhfa7\nq9rJ3+l2/fhjq6u8J725c60uadnSGlTHHlv7sSsbN/qPB0um//7X6o5Exjh99pl9Fu++6mfhQtvu\npZdGG0LXXGMNyw4dEj+GR4+OPW7i9T6o2j75/PPWOAyqy0pLLThN9ndbXGy/d5s20UZwunz0kX3f\nfhdvhPHuu9bY7d7deh4GDKh74iPd6k3wdfTRVoE445r8DBmS2Fisn3+2IMpv4K6qdc+1bev/3E47\nxe8qScS4cf4HpjPO4tdfrYzt2lVfb/Bga+16tWsX263y6qvBafVevayC2Gqr2KuWVC3TVlM63quy\n0gItb0A5Y0bN88/UxvTp9jlHj7YAqjZXsJ1zjo13+fVXq5zS3f+fTIWF1rL2XjX31ls20N1v3Mi1\n1wZ3sx9ySPUxMTfe6L+fuR1xhGV0vOO7amO77ayboW1by7IceaTtT7//bieSeINzu3WzMTW77FLz\nwP3PP7cuv3gqK60cNV1lWxdOkPHMMzWvO3Cgdfe5h1Dcfbf9HuvXWxeak1EpK7NMfG2uWs0mL75o\nv2MiysoSa8g5xo2LHZdVWmrHjd/FFEFKSmzsZ0mJ1cVduybvivpUOOkkCxDTzRk/moquzunTExtj\nl23qTfDlpHLvuiv4w/7739WvkPHzySeWKWrSxL976KuvgivqY45Rfemlmt+jrpzukeHDoxOZuk2f\nXv1Ks7IyuyQ20Z3zvfes9bfjjskpczo5V91tsYVloRLljCu76abYq+dy0ZIldnT6TXtw000WwHgz\nVvvsEzx1xn33xV6htHGjBSE1jSEbOtSywLUN1t2OP94yOV98YfvvYYfZAPYRI+J3JZaVWXfEY49Z\na7imbMjGjdGrgINMmxZ7VWEyffVVcMbba8kSyxi7T2SjRlnWbPr06tPt/OtfwRcbZLtlyxLrRkyW\nRYuCp5cIcvzx1gX2/ffW+M7mLq/S0syVL1cyUukSJvjKCzdLWHI1bWq3AvC7r6PDewufIL/+aret\nWLzYJrDz3p9x0SK7zYCfl14KnnAtGQ45xCYcXLkyOkml2z772ARy335rt9QB7DNsu61NgpiIPn3s\ne9xrr+SVO1169LBJFu+5xyb4S1TnzjZZ4AMPJOc+mpm03XZ26x5ncle3++6zyQGvuMImixSx27cU\nFdlEv34uu8z2q/fft4li33rLJizs3Dl+OQYOtMkonYkw6+Lpp22iQmcizhEjgJ497VZN114b/LrN\nN7eJQA88MLH3adIE2H9/m/z0uOP81xk/3u5Xmgr77GMTkO6wQ83rbr+9TcDaunV02a672m84Z47d\n/sftxhuTW9Z0at8+OkF2OiTy/Xs5N1Du1MluFyXeacGzSG0ndE6meJPpUu2EneE+qZo1sxuCJiP4\n+uUXYKedbAZq5z6FbvGCr223tRl5U8UJvtwzhLuJ2GzUr70WXebMbp+oRo1stvBEbqqajfbay27m\nWttK8Pbbbaby2tyTMxuJAKNH233FvBo1shnhv/3WArBVq2y274MOsoDFz9Zb2yzPF11kDZynngIu\nv7zmcuTl2XEZRseOsZV25852z8IZM2ym6WRyZtoHrJ644w6bIdsxblz0/obJlpcH9O+f+PruwAuI\n3tvQL/ii1HLu3/fqq9XvBECUClkXfG3aZAFWkNoEXzvuWLfgK9UOOMBOnJWVdrsNP6eeai0xx+LF\n1bN3NenTJ3Wt/Gy14451C9qy0Qkn+N9gHrAGyocfWiZ0990tS3jUUfG3d/TRFnyddJLdmDjeLUVS\n7YorLPjyBiBhOcHX2rW2/z/xRPRG3StW2K2WDj88ue+ZLK1bW/ausNBuo0Tp07GjNdZLS60RQ5Rq\nWRV8OV0bNWW+ErmbfZjMV6ptuaVldo4+OjhI2H9/y1AsXmyPa5v5ovpv662B//3P7te5/faJBVMF\nBZY5u+ii4CxZOoikJsA45BC7X2GfPnZ/yq+/tvuAFhVZl+vRR2f2c9ekc2e7xx8zX+l3wQXApZfW\nj4YbZb+sGvPldG8kI/P1668WfC1a5H+j3EWLMhvMnHlmcNYLsBNkr16W3bjwQgZfFGzvve1Gy4nY\nbDPLrCQ6djDXtGplmcA99wQef9yOo0GDgAEDbBxntmeCO3cGvvoK6No10yVpeK65JtMloIYkqzJf\nTvAVL/PVvHnNwZeqBV/xuh0XL85c5gsAbroJ6Ncv/jrHHmvBF1C3bkciP02apHZMY6YVFlp3Y6Oq\n2u2666w+eO211I33SpZdd7U6K5ODqoko9bIq+Eq027Gm4Ou336xrb8st/YOvykpg+fLsD2aOOcaC\nL1VmvogS1bx5bNfRZptZMHb88dl/DHXrZlehElH9llXt32R1OzpdjoBlt5YuBSoqooOXly+3Lohs\nHvsBWODYvDkwcyYzX0RhHHGE/ct2Z5yR/CtAiSj7ZFXmK5Fux2bNgLIyuyoyiDPYHrAAq3376MB1\nILOD7Wvr2GOBiRMtgGTwRVS/NW4cv/4jovohq4Ivp9txyy2D1xGxymn9+uB1nGkmHN6ux0wPtq+N\nY44BRo2yjB/HgRAREeW+rAq+mjWzwKtRDaWqadC9O/MF+AdfuZL56tXL5gTLlWCRiIiI4suq4Ktp\n08RS7jWN+3KP+QLslhHu4CvTVzrWRuvWNucXuxyJiIjqh6wKvpo1iz/Y3lFT8OWX+Vq4MPo4lzJf\ngN2nLpfKS0RERMGy6mrHnXayy8FrkkjwVdOYr1wKZgYNsosMiIiIKPdlVfDVvr3dCqQm8W4xtHat\nBSrbbBNd5u12zKUB94B93kQygkRERJT9sir4SlS8zJczs717ksUOHYCVK4FvvrGb665YYffCIyIi\nIkq3nAy+vFc7zphhExNedZVludxdjoDNnXPUUcD551vQdf319fv2KkRERJS9cjIE8Wa+5s+3bsRZ\ns4Dbbwcuvrj6ayZOTF/5iIiIiILUi+CruBjo0cPu33bXXdHbCBERERFlm5wNvn75Jfr4t9+Adu3s\n7513zkyZiIiIiBKRVfN8Jcp7tWNxcTT4IiIiIspmORt8ebsdGXwRERFRLsjJ4Mt7tSODLyIiIsoV\nORl8+WW+tt02c+UhIiIiSlSdgy8RaSMiH4jIjyIyUURaBaz3rIgUi8jMuhczFrsdiYiIKFeFyXzd\nDOADVe0K4KOqx36eA9A7xPtU4x5wv349sGkT0LJlMt+BiIiIKDXCBF8nAxhZ9fdIAKf4raSqkwH8\nEeJ9qnFnvpxpJty3EyIiIiLKVmGCr3aqWlz1dzGAtHX8uQfcs8uRiIiIckncSVZF5AMA7X2eutX9\nQFVVRDSZBYunWTOgrMy6Gxl8ERERUS6JG3yp6rFBz1UNom+vqstFZDsAv4UtTEFBwZ9/5+fnIz8/\nP+C9Lfu1bh2vdCQiIqLUKywsRGFhYVK2Jap1S1iJyAMAVqrqUBG5GUArVfUddC8inQCMUdW942xP\na1OWHXYApk4FRo4ENmwA7r23duUnIiIiqisRgarWacR5mDFf9wM4VkR+BNCr6jFEZHsRGesq3CsA\nPgfQVUQWichFId7zT84Vj+x2JCIiolxS5xtrq+oqAMf4LF8K4ETX47Pr+h7xOFc8FhcDhx2Wincg\nIiIiSr6cnOEeiF7xyMwXERER5ZKcDb7cmS8GX0RERJQr6kXwxasdiYiIKFfkdPC1apUNum/TJtOl\nISIiIkpMTgdfP/8MtG0LNMrZT0FEREQNTc6GLS1aAEVFHO9FREREuSVng6/mzRl8ERERUe7J2eCr\nRQtgwQIOticiIqLcktPBV0UFM19ERESUW3I6+AIYfBEREVFuYfBFRERElEY5G3w1b27/M/giIiKi\nXJKzwRczX0RERJSLcj744tWORERElEtyNvhq2RLIy7MZ7omIiIhyRc4GX02bArNmWQBGRERElCtE\nVTNdBgCAiGi2lIWIiIgoHhGBqkpdXpuzmS8iIiKiXMTgi4iIiCiNGHwRERERpRGDLyIiIqI0YvBF\nRERElEYMvoiIiIjSiMEXERERURox+CIiIiJKIwZfRERERGnE4IuIiIgojRh8EREREaVRnYMvEWkj\nIh+IyI8iMlFEWvms01FEPhGR2SIyS0SuCVdcIiIiotwWJvN1M4APVLUrgI+qHntVALheVfcE0BPA\nVSLSLcR7EqGwsDDTRaAcwv2FEsV9hdIlTPB1MoCRVX+PBHCKdwVVXa6q31X9vQ7AHADbh3hPIlaQ\nVCvcXyhR3FcoXcIEX+1Utbjq72IA7eKtLCKdAOwLYFqI9yQiIiLKaXnxnhSRDwC093nqVvcDVVUR\n0TjbaQ7gdQDXVmXAiIiIiBokUQ2MmeK/UGQugHxVXS4i2wH4RFV391lvMwDvARivqg/H2V7dCkJE\nRESUAaoqdXld3MxXDd4FcAGAoVX/v+1dQUQEwHAAP8QLvIC6fwAiIiKiXBIm89UGwGgAOwJYCOBv\nqrpaRLYH8LSqnigihwOYBOB7AM4bDVbVCaFLTkRERJSD6hx8EREREVHtZXyGexHpLSJzRWS+iAzK\ndHkou4jIQhH5XkS+FZEvq5bVOMEvNQwi8qyIFIvITNeywP1DRAZX1TVzReS4zJSaMiFgXykQkcVV\n9cu3ItLH9Rz3lQYsaJL4ZNUvGQ2+RKQxgGEAegPYA8DZnISVPBR2Yce+qnpQ1bJEJvilhuE5WP3h\n5rt/iMgeAM6E1TW9AfxPRDLeAKW08dtXFMB/quqXfVV1PMB9hQAETxKflPol0zvTQQCKVHWhqlYA\nGAWgb4bLRNnHezFGjRP8UsOgqpMB/OFZHLR/9AXwiqpWqOpCAEWwOogagIB9BahevwDcVxq8gEni\nOyBJ9Uumg68OABa5Hi+uWkbkUAAfisjXInJZ1bJaTfBLDU7Q/rE9rI5xsL4hABggIjNEZLirC4n7\nCv3JM0l8UuqXTAdfHO1PNTlMVfcF0AeW9j3C/aTaFSPcj8hXAvsH952G7XEAOwPYB8AyAP+Osy73\nlQaoapL4N2CTxK91Pxemfsl08LUEQEfX446IjRypgVPVZVX/rwDwFiyNWywi7QGgaoLf3zJXQspC\nQfuHt77ZoWoZNVCq+ptWAfAMot1E3FfImST+DQAvqKozl2lS6pdMB19fA+giIp1EZHPYYLV3M1wm\nyhIi0kxEWlT9vSWA4wDMRHSCXyBggl9q0IL2j3cBnCUim4vIzgC6APgyA+WjLFF18nT0g9UvAPeV\nBi/OJPFJqV/CzHAfmqpuEpGrAbwPoDGA4ao6J5NloqzSDsBbdgwgD8BLqjpRRL4GMFpELkHVBL+Z\nKyJlkoi8AuAoANuIyCIAdwC4Hz77h6r+ICKjAfwAYBOAK5UTHTYYPvvKPwHki8g+sO6hBQD6A9xX\nCABwGIDzAHwvIt9WLRuMJNUvnGSViIiIKI0y3e1IRERE1KAw+CIiIiJKIwZfRERERGnE4IuIiIgo\njRh8EREREaURgy8iIiKiNGLwRURERJRGDL6IiIiI0uj/AbcuQub0RydXAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9190ceb10>"
       ]
      }
     ],
     "prompt_number": 48
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(cepstrum_o[1:200])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 49,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918727190>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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/fupjpVTt4Oc0XxYVhY6xKS6OviPVltWr7Y/u9F+rRvZVV1QED7bRyhzNrl3W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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa919126fd0>"
       ]
      }
     ],
     "prompt_number": 49
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The x-axis in a Ceptrum plot is called Quefrency. But it is in fact a time axis."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmax(cepstrum_a[50:100])+ 50"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 50,
       "text": [
        "69"
       ]
      }
     ],
     "prompt_number": 50
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmax(cepstrum_e[50:100])+ 50"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 51,
       "text": [
        "67"
       ]
      }
     ],
     "prompt_number": 51
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmax(cepstrum_o[50:100])+ 50"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 52,
       "text": [
        "64"
       ]
      }
     ],
     "prompt_number": 52
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Cepstrum was oversampled \n",
      "f_a = sr /(2.0*(argmax(cepstrum_a[50:100])+ 50))\n",
      "f_a"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 53,
       "text": [
        "115.94202898550725"
       ]
      }
     ],
     "prompt_number": 53
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f_e = sr /(2.0 * (argmax(cepstrum_e[50:100])+ 50))\n",
      "f_e"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 54,
       "text": [
        "119.40298507462687"
       ]
      }
     ],
     "prompt_number": 54
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f_o = sr /(2.0 * (argmax(cepstrum_o[50:100])+ 50))\n",
      "f_o"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 55,
       "text": [
        "125.0"
       ]
      }
     ],
     "prompt_number": 55
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "freqs = linspace(0, sr/2, 2049)\n",
      "plot(freqs, log_mag_spec_a)\n",
      "xlim((0, 500))\n",
      "vlines(f_a, 0, 14)\n",
      "grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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qmIw5fjzw97/rN5FrrtFIvGdPYMaMonOFW93nZSkpmudRs6a+ybVurVtRDB6s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\nClGWYAA2YYJuUxKt227T/K1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MAQAXGGMyADQFcIGInA/2nd/0A7ASRSve2X/+YAAEjDHN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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918b1efd0>"
       ]
      }
     ],
     "prompt_number": 56
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "freqs = linspace(0, sr/2, 2049)\n",
      "plot(freqs, log_mag_spec_e)\n",
      "xlim((0, 500))\n",
      "vlines(f_e, 0, 14)\n",
      "grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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G/PZb8tctKjLm8MON+fDD2I/54gtjGjUyZvHi2I8pLNTX6O+/V2x3/frGrFxZ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\nKfp/ig3UIhWq44UAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918a1a850>"
       ]
      }
     ],
     "prompt_number": 57
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "freqs = linspace(0, sr/2, 2049)\n",
      "plot(freqs, log_mag_spec_o)\n",
      "xlim((0, 500))\n",
      "vlines(f_o, 0, 16)\n",
      "grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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nxXKHDnW1ySkv2b38QhNQeaWgwKYbTzzR8rPI5OXZUPQff9ib6xVXWM7SQw/Z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\nBlRERERESfr/aOdcEPb2ZFYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918786050>"
       ]
      }
     ],
     "prompt_number": 58
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Harmonic vs. noisy spectra"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "noise = 5000.0 * (random.random(2048) - 0.5)\n",
      "fourier_trans = rfft(noise * hanning(2048), n=4096)\n",
      "mag_spectrum_noise = abs(fourier_trans)\n",
      "log_mag_spec_noise = log(mag_spectrum_noise)\n",
      "plot(log_mag_spec_noise)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 59,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918164810>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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QF4AsV1yYA9lnRfeOt4UqrqYHLQlod/mgfW7B++5zJ3uTYou7Bfla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\nmZsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91874a790>"
       ]
      }
     ],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_noise = ifft(log_mag_spec_noise)\n",
      "plot(abs(cepstrum_noise[1:]))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 60,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918773810>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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2zDP++rj6zrVr454bIUtYGUUYvwy3NqV4JGf1Cdt44/rXwbddD8TqSlOLCLPN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\nSOULk9USZlqnbBaOkSPlEN3Spem0plD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f+ajZsA2XxfqwufjSl5L/1UoEJrblbUKWsC23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\nwhiGYRiGYRoAizCGYRiGYZgG8P9xKEVgvp2E9QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918771410>"
       ]
      }
     ],
     "prompt_number": 60
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sinsig = 2500.0 * ((sin(linspace(0, 20*2*pi,2048))) + (sin(linspace(0, 40*2*pi,2048))))\n",
      "fourier_trans = rfft(sinsig * hanning(2048), n=4096)\n",
      "mag_spectrum_sinsig = abs(fourier_trans)\n",
      "log_mag_spec_sinsig = log(mag_spectrum_sinsig)\n",
      "plot(log_mag_spec_sinsig)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 61,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918a1a850>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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d5+bKfEvSHne/J/fdG5ImuPsWMztR0kNmdoy776hlwwEAAOqRuXvlB5tdLumL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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa91875c290>"
       ]
      }
     ],
     "prompt_number": 61
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cepstrum_sinsig = ifft(log_mag_spec_sinsig)\n",
      "plot(abs(cepstrum_sinsig[1:]))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 62,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa918b230d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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S+8LDD8f+f+WVsa8/9lh0O+6xR9TbzTfHdYT694967dcvrjF0yilR5ltuiTKP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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918a8ccd0>"
       ]
      }
     ],
     "prompt_number": 62
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The simplest way can be setting a threshold for the maximum value of the cepstrum, but other techniques to detect flatness or peakedness of the cepstrum can be used."
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Sinusoidal modeling"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A signal is modeled as a sum of time varying sinusoids:\n",
      "\n",
      "$$P_k(n) = \\alpha_k(n)\\sin(\\phi_k(n))$$\n",
      "\n",
      "The signal is the sum of each individual sinusoid:\n",
      "\n",
      "$$ s(n) = \\sum\\limits_{k}P_k(n)$$\n",
      "\n",
      "*n* is the point in time (sample number) and *k* is the index to each sinusoidal component.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Pxx, freqs, bins, im = specgram(e, 2048, 16000, noverlap=1024, pad_to=8192)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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toCnXmlOy/GhcdCiMXOsne0LHkWv7wjeh6a9ZXkZZK4yR1xfDrNPy6wp5tNXj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HSlz5U/VxfgnQBKzgCJfGiEwuRwCk5GymfyJHgiL3Vp3dmHcQtblBwVmi9HdopqMnkxQb3JT2/o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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918ab7c10>"
       ]
      }
     ],
     "prompt_number": 63
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Pxx.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 64,
       "text": [
        "(4097, 10)"
       ]
      }
     ],
     "prompt_number": 64
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(Pxx[:,0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 65,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91903af90>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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duxb++q/Lz/+LXxwK3iefDE97WglUJ544NMS5fTu84AVl+fWvhwsvhBe9qDyc\n90Uvgje/GQ4/fCjcvfzl8PSnl9+d3//9cvwtW+DZzy7z4U4/vTxTbceO8g+FrVtL+Dv55PL7cO+9\n5XfzLW8p/X7ta2HVqtKH444r237mM+VGi9rwcGb5uuGG8e9Q7XX98ns+UfZ7ZrHfalUvBLUjgTvr\nXm+p2sb12GOlinbAAbBsGXz5y8PXb9tWHvVQ+2N/0knlAau7d5f9Hn20bLNw4fD91qwpFY8zzih/\nqAcGhtYdfng55llnDU2Av+wy+Kd/Kn/EzzoLTjtt+B2D994Lf/IncMwxZZu3v/2J8+W+/GX4oz+C\nD3+4PPZh5JDZnj3lvK69toSRnTub+QkNlwm33z76H/bMUsVpVJmsufZa+Md/LJWgzHINfvKT0sev\nfx1Wr4alS8tNARddBM95TqmWnXFGuUb//M+ljyOddRZ85ztDj7X4tV8rcwu/8IXyPg89VCpZ554L\n7343nHpqWQdlnuG3vw3//u9wySWl7fjjS3j63d+Ff/u3EhZPOKEE8F27ygNpzz0XLr64hMgFC8p5\nf+QjZd3pp5dr9qY3lfmNb3hDCeDPe145/pOeVELfrbfC3/99CW/veMfwzzCtDVveemsJp7/yK7Bo\nUfm68EJ48YvLPy6e9rTyczviiDJn7fLL4X3vK78jv/d7JWj+8R+Xn/mrX10C20EHwR/+YfmdPv/8\n8j533z38RphG13fTpqFP37jnnlLlfO97y7IkqffM6fYJAE09oODlLy9DZj//eZmUvs8+JRy89KXl\nj/uJJ8LrXlcmiM+eXf6w1553dvzx5fvrX18qJQcfPFSZmDWr/AGt98xnlorIrFnla6S/+qsS9o45\nplTj7r4bvvWtcl7Pfnb5A/r855dQl1mqJqefXh6A+ta3wt/+bani/OqvltCwc2cJUCtXlirSunXl\nD+rcuSWczJkzNAx24YXlnB56CJ761PLHvf6zSEf9ISd8//vl/R5/vAST3btL4FiwoPxc7723DCU/\n9lgJJzA0/2/+/BICdu6E3/iN8sf9gQfKMQ49tOx36KGlWvQXf1HCz5w5pfp13HGlUhYx+vk961ll\n/1q1KwL+5m9KeN2xY+icd+yAP//zEjTe/OZyzX/+czjqqHKeX/taCTkHHVSC14UXlgBXC+M33lh+\n1i98YXl9wgnl63d+p8xXO/fcEvx+8zdLuITh1dP168s5HnlkCVq135d6L3whvPGN5XfzrrvK78Fn\nPwsf/GBmxmpkAAAFn0lEQVSpyN57b1n/rGeVn+N++5XwvmtXCWw7dpT3vuuu0v//+I/yD4GXvrR8\n37OnnMMll5Tjvv3tpVr5yCPlejz5yeWYc+aU3+N58+ApTynB7+GHy9eBB5Z/DBx0UPnHwz/8Q/l9\nfPDBobC3YEH5eLX99y/vWQvRtWpevYih61tbHvl6NLffXoJ2I2PtN9394Acz82YR+z2zTLTfJ58M\nb3nL1J3PdBTZ5Qc5RcQLgNWZubx6vQrYk5nvr9vGp01JkqRpIzPb8k/NXghqc4AfACcCdwHrgbMy\n8/tdPTFJkqQu6/rQZ2buiog/Bb4IzAYuNqRJkiT1QEVNkiRJjfXCXZ9jmszDcHtdRGyOiO9GxE0R\nsb5qOyQiro+I2yPiuog4uG77VdXP4baIOLl7Zz4xEXFJRGyPiA11bRPuZ0ScEBEbqnUXdLofEzVK\nv1dHxJbqmt8UEa+oW9cv/V4cEV+KiO9FxK0RcW7V3tfXfIx+9/U1j4h9IuKbEXFzRGyMiP9Ttff7\n9R6t3319vWsiYnbVv89Xr/v6etc06PfUX+/M7NkvylDoHcBRwFzgZuDYbp9XG/v3I+CQEW0fAN5V\nLb8beF+1vLTq/9zq53EHMKvbfWiyny8Bjgc2tNjPWuV3PfD8avkaYHm3+9ZCv98DvKPBtv3U78OA\nX6+WD6DMQT2236/5GP2eCdd8v+r7HOAbwIv7/XqP0e++v97Veb4D+CRwdfW676/3KP2e8uvd6xW1\nST0Md5oYeVfIKcCl1fKlwGnV8qnAuszcmZmbKRf9+R05w0nKzK8CI5/wNZF+LouIw4EDM7P6HAAu\nq9unJ43Sb3jiNYf+6ve2zLy5Wn4E+D7l2Yh9fc3H6Df0/zX/ebU4j/IP7Afo8+sNo/Yb+vx6R8Qi\n4JXAxxjqa99f71H6HUzx9e71oNbyw3CniQT+MyK+HRFvrNoWZmbtA422A7XH8R5B6X/NdP9ZTLSf\nI9u3Mn37/5aIuCUiLq4bHujLfkfEUZSq4jeZQde8rt/fqJr6+ppHxKyIuJlyXb+Umd9jBlzvUfoN\nfX69gQ8B7wT21LX1/fWmcb+TKb7evR7U+v1Ohxdl5vHAK4A3R8RL6ldmqYuO9TPoi59PE/3sJxcB\nRwO/DtwNfLC7pzN1IuIA4DPAWzPz4fp1/XzNq35/mtLvR5gB1zwz92TmrwOLgJdGxG+OWN+X17tB\nvwfo8+sdEa8C7snMm2hcSerL6z1Gv6f8evd6UNsKLK57vZjhSXRay8y7q+/3Av9GGcrcHhGHAVQl\n0tqH+4z8WSyq2qarifRzS9W+aET7tOt/Zt6TFUr5vDZ83Vf9joi5lJB2eWZeVTX3/TWv6/c/1/o9\nU645QGY+CHwBOIEZcL1r6vr93BlwvV8InBIRPwLWAS+PiMvp/+vdqN+XdeJ693pQ+zawJCKOioh5\nwBnA1V0+p7aIiP0i4sBqeX/gZGADpX/nVJudA9T+yF0NnBkR8yLiaGAJZULidDWhfmbmNuChiFgW\nEQGcXbfPtFH9D6zmdynXHPqo39V5XgxszMz6T3bt62s+Wr/7/ZpHxKG14Z6I2Bf4LeAm+v96N+x3\nLaxU+u56Z+b5mbk4M48GzgT+KzPPps+v9yj9fm1H/vse606DXviiDAv+gDIRb1W3z6eN/TqackfI\nzcCttb4BhwD/CdwOXAccXLfP+dXP4Tbgt7vdhwn0dR3lUycep8w5fF0r/aT8K31Dte7vu92vFvr9\nesrE0e8Ct1T/cS7sw36/mDKH42bKH+ybgOX9fs1H6fcr+v2aA8cB36n6/V3gnVV7v1/v0frd19d7\nxM/gZQzd/djX13tEvwfq+n35VF9vH3grSZLUo3p96FOSJGnGMqhJkiT1KIOaJElSjzKoSZIk9SiD\nmiRJUo8yqEmSJPUog5okSVKPMqhJkiT1qP8Pk9yvC5fEIesAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918c2c1d0>"
       ]
      }
     ],
     "prompt_number": 65
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "First we find the local maxima to identify peaks:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "maxima = argwhere((Pxx[:-2,0] < Pxx[1:-1,0]) & (Pxx[2:,0] < Pxx[1:-1,0])) + 1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 66
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(Pxx[:,0])\n",
      "plot(maxima, Pxx[maxima, 0], 'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 67,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa91874dc10>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ef+e2O9lxz47sPLub72TxWcO8Z20vG27dcDJElX7e/Ed3sv+1Yd51WS//c2E+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\nSZLUogxqkiRJLer/ByTXO+GPZTmtAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918898f50>"
       ]
      }
     ],
     "prompt_number": 67
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now filter by threshold (let's choose 1000):"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "peaks = [index for index in maxima if Pxx[index, 0] > 1000]\n",
      "peaks"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 68,
       "text": [
        "[array([68]), array([136]), array([204]), array([272])]"
       ]
      }
     ],
     "prompt_number": 68
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(Pxx[:,0])\n",
      "plot(peaks, Pxx[peaks, 0], 'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 69,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7fa9180bcfd0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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z8yjgWcAtwHuA1Zl5JHB99ZqIWAicDiwEFgOfiIiojnMxsCQzFwALImLxeE6inV2fY7Wo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\ncyNzmBGop68AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa9180bcf50>"
       ]
      }
     ],
     "prompt_number": 69
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "peak_list = []\n",
      "for spec in Pxx.T:\n",
      "    maxima = argwhere((spec[:-2] < spec[1:-1]) & (spec[2:] < spec[1:-1])) + 1\n",
      "    peaks = [(freqs[index][0], spec[index][0]) for index in maxima if spec[index] > 1000]\n",
      "    peak_list.append(peaks)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 70
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "A = (4,5)\n",
      "A[0] = 2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "TypeError",
       "evalue": "'tuple' object does not support item assignment",
       "output_type": "pyerr",
       "traceback": [
        "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
        "\u001b[0;32m<ipython-input-74-3863c4c11a92>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mA\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mA\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
        "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment"
       ]
      }
     ],
     "prompt_number": 74
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "peak_list[0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 72,
       "text": [
        "[(132.8125, 13259.500682785412),\n",
        " (265.625, 5598.2166931424135),\n",
        " (398.4375, 11918.611861673435),\n",
        " (531.25, 12480.112370777058)]"
       ]
      }
     ],
     "prompt_number": 72
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "array(peak_list[0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 75,
       "text": [
        "array([[   132.8125    ,  13259.50068279],\n",
        "       [   265.625     ,   5598.21669314],\n",
        "       [   398.4375    ,  11918.61186167],\n",
        "       [   531.25      ,  12480.11237078]])"
       ]
      }
     ],
     "prompt_number": 75
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "array(peak_list[0])[0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 76,
       "text": [
        "array([   132.8125    ,  13259.50068279])"
       ]
      }
     ],
     "prompt_number": 76
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "array(peak_list[0])[0, 0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 77,
       "text": [
        "132.8125"
       ]
      }
     ],
     "prompt_number": 77
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "array(peak_list[0])[:,0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 109,
       "text": [
        "array([ 132.8125,  265.625 ,  398.4375,  531.25  ])"
       ]
      }
     ],
     "prompt_number": 109
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "array(peak_list[0])[:,1] # amplitudes"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 78,
       "text": [
        "array([ 13259.50068279,   5598.21669314,  11918.61186167,  12480.11237078])"
       ]
      }
     ],
     "prompt_number": 78
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for i, peaks in enumerate(peak_list):\n",
      "    freqs = array(peaks)[:,0]\n",
      "    plot(ones(len(freqs))*i, freqs, 'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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JleG9LVaSpMVrURYsHR7+SEfUH7FgqQVLLVhabRYstWBplV/DpnXqhMH069h8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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fae567f6c50>"
       ]
      }
     ],
     "prompt_number": 111
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "specgram(e, 2048, 16000, noverlap=1024, pad_to=8192)\n",
      "for i, peaks in enumerate(peak_list):\n",
      "    freqs = array(peaks)[:,0]\n",
      "    plot(ones(len(freqs))*bins[i], freqs, 'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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toCnXmlOy/GhcdCiMXOsne0LHkWv7wjeh6a9ZXkZZK4yR1xfDrNPy6wp5tNXj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\n/B+spwW4ylbWPQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa918090fd0>"
       ]
      }
     ],
     "prompt_number": 80
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "specgram(e, 2048, 16000, noverlap=1024, pad_to=8192, interpolation='nearest')\n",
      "for i, peaks in enumerate(peak_list):\n",
      "    freqs = array(peaks)[:,0]\n",
      "    plot(ones(len(freqs))*bins[i], freqs, 'o')\n",
      "\n",
      "ylim((0, 1000))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 81,
       "text": [
        "(0, 1000)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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aglM++safpCU4o0lRV/gCz3M+D8Pzh6+qGlj4OjQZKDgJZn8IIhdJq3LAmLrY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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa913d61c10>"
       ]
      }
     ],
     "prompt_number": 81
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Top part of the spectrum:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "specgram(e, 2048, 16000, noverlap=1024, pad_to=8192, interpolation='nearest')\n",
      "for i, peaks in enumerate(peak_list):\n",
      "    freqs = array(peaks)[:,0]\n",
      "    plot(ones(len(freqs))*bins[i], freqs, 'o')\n",
      "\n",
      "ylim((1500, 3000))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 82,
       "text": [
        "(1500, 3000)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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j4Oo7I37S19hR7qe3Y1dcn5a8U4SXO8a51gKK+Gm556oESNV/OwpWwFdXCEdl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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa913b3d910>"
       ]
      }
     ],
     "prompt_number": 82
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now connect the dots. First start tracks at initial peak list:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "tracks = [[r_[freq, amp, bins[0]]] for freq, amp in peak_list.pop(0)]\n",
      "tracks"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 83,
       "text": [
        "[[array([  1.32812500e+02,   1.32595007e+04,   6.40000000e-02])],\n",
        " [array([  2.65625000e+02,   5.59821669e+03,   6.40000000e-02])],\n",
        " [array([  3.98437500e+02,   1.19186119e+04,   6.40000000e-02])],\n",
        " [array([  5.31250000e+02,   1.24801124e+04,   6.40000000e-02])]]"
       ]
      }
     ],
     "prompt_number": 83
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "tracks_ = array(tracks)\n",
      "tracks_, tracks_.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 84,
       "text": [
        "(array([[[  1.32812500e+02,   1.32595007e+04,   6.40000000e-02]],\n",
        " \n",
        "        [[  2.65625000e+02,   5.59821669e+03,   6.40000000e-02]],\n",
        " \n",
        "        [[  3.98437500e+02,   1.19186119e+04,   6.40000000e-02]],\n",
        " \n",
        "        [[  5.31250000e+02,   1.24801124e+04,   6.40000000e-02]]]), (4, 1, 3))"
       ]
      }
     ],
     "prompt_number": 84
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Then start connecting frame by frame:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "new_peaks = peak_list.pop(0)\n",
      "new_peaks"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 85,
       "text": [
        "[(128.90625, 43415.969559712321),\n",
        " (257.8125, 10136.461353220735),\n",
        " (388.671875, 12396.216214466369),\n",
        " (513.671875, 28229.64572344625),\n",
        " (1814.453125, 1062.6965352678799),\n",
        " (1898.4375, 1376.5386563369461),\n",
        " (1917.96875, 1572.4372651563174),\n",
        " (1943.359375, 3003.1438876970128),\n",
        " (1957.03125, 1337.0451035829653),\n",
        " (2572.265625, 1448.3072079608921),\n",
        " (2595.703125, 1168.6898589921368),\n",
        " (2724.609375, 1000.7178254947365)]"
       ]
      }
     ],
     "prompt_number": 85
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f = new_peaks[0][0]\n",
      "f"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 86,
       "text": [
        "128.90625"
       ]
      }
     ],
     "prompt_number": 86
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "tracks[:]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 87,
       "text": [
        "[[array([  1.32812500e+02,   1.32595007e+04,   6.40000000e-02])],\n",
        " [array([  2.65625000e+02,   5.59821669e+03,   6.40000000e-02])],\n",
        " [array([  3.98437500e+02,   1.19186119e+04,   6.40000000e-02])],\n",
        " [array([  5.31250000e+02,   1.24801124e+04,   6.40000000e-02])]]"
       ]
      }
     ],
     "prompt_number": 87
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "last_bps_freq = []\n",
      "last_bps_time = []\n",
      "\n",
      "for bps in tracks:\n",
      "    last_bps_freq.append(bps[-1][0]) # get last breakpoint for all tracks\n",
      "    last_bps_time.append(bps[-1][2]) # get last breakpoint for all tracks\n",
      "\n",
      "print(last_bps_freq)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[132.8125, 265.625, 398.4375, 531.25]\n"
       ]
      }
     ],
     "prompt_number": 88
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "tracks[:]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 89,
       "text": [
        "[[array([  1.32812500e+02,   1.32595007e+04,   6.40000000e-02])],\n",
        " [array([  2.65625000e+02,   5.59821669e+03,   6.40000000e-02])],\n",
        " [array([  3.98437500e+02,   1.19186119e+04,   6.40000000e-02])],\n",
        " [array([  5.31250000e+02,   1.24801124e+04,   6.40000000e-02])]]"
       ]
      }
     ],
     "prompt_number": 89
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "But last breakpoint must be from the previous frame!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "previous_frame_time = bins[0]\n",
      "previous_frame_time"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 90,
       "text": [
        "0.064000000000000001"
       ]
      }
     ],
     "prompt_number": 90
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "active_tracks = argwhere(last_bps_time == previous_frame_time)\n",
      "active_tracks = array(active_tracks)\n",
      "active_tracks"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 91,
       "text": [
        "array([[0],\n",
        "       [1],\n",
        "       [2],\n",
        "       [3]])"
       ]
      }
     ],
     "prompt_number": 91
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "prev_freqs = array(tracks)[active_tracks,-1,0]\n",
      "prev_freqs"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 92,
       "text": [
        "array([[ 132.8125],\n",
        "       [ 265.625 ],\n",
        "       [ 398.4375],\n",
        "       [ 531.25  ]])"
       ]
      }
     ],
     "prompt_number": 92
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dists = abs(prev_freqs - f)\n",
      "dists"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 93,
       "text": [
        "array([[   3.90625],\n",
        "       [ 136.71875],\n",
        "       [ 269.53125],\n",
        "       [ 402.34375]])"
       ]
      }
     ],
     "prompt_number": 93
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmin(dists)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 94,
       "text": [
        "0"
       ]
      }
     ],
     "prompt_number": 94
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "active_tracks[argmin(dists)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 95,
       "text": [
        "array([0])"
       ]
      }
     ],
     "prompt_number": 95
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "best_matches = []\n",
      "for peak in new_peaks:\n",
      "    f = peak[0]\n",
      "    dists = abs(prev_freqs - f)\n",
      "    best_matches.append([active_tracks[argmin(dists)], dists.min()])\n",
      "\n",
      "best_matches = array(best_matches)\n",
      "best_matches"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 96,
       "text": [
        "array([[array([0]), 3.90625],\n",
        "       [array([1]), 7.8125],\n",
        "       [array([2]), 9.765625],\n",
        "       [array([3]), 17.578125],\n",
        "       [array([3]), 1283.203125],\n",
        "       [array([3]), 1367.1875],\n",
        "       [array([3]), 1386.71875],\n",
        "       [array([3]), 1412.109375],\n",
        "       [array([3]), 1425.78125],\n",
        "       [array([3]), 2041.015625],\n",
        "       [array([3]), 2064.453125],\n",
        "       [array([3]), 2193.359375]], dtype=object)"
       ]
      }
     ],
     "prompt_number": 96
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now that we have the best match for each of the new points, we need to decide which ones get connected."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argwhere(best_matches[:, 0] == 0)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 97,
       "text": [
        "array([[0]])"
       ]
      }
     ],
     "prompt_number": 97
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argwhere(best_matches[:, 0] == 3)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 98,
       "text": [
        "array([[ 3],\n",
        "       [ 4],\n",
        "       [ 5],\n",
        "       [ 6],\n",
        "       [ 7],\n",
        "       [ 8],\n",
        "       [ 9],\n",
        "       [10],\n",
        "       [11]])"
       ]
      }
     ],
     "prompt_number": 98
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "best_matches[argwhere(best_matches[:, 0] == 3)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 99,
       "text": [
        "array([[[array([3]), 17.578125]],\n",
        "\n",
        "       [[array([3]), 1283.203125]],\n",
        "\n",
        "       [[array([3]), 1367.1875]],\n",
        "\n",
        "       [[array([3]), 1386.71875]],\n",
        "\n",
        "       [[array([3]), 1412.109375]],\n",
        "\n",
        "       [[array([3]), 1425.78125]],\n",
        "\n",
        "       [[array([3]), 2041.015625]],\n",
        "\n",
        "       [[array([3]), 2064.453125]],\n",
        "\n",
        "       [[array([3]), 2193.359375]]], dtype=object)"
       ]
      }
     ],
     "prompt_number": 99
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "best_matches[argwhere(best_matches[:, 0] == 3)][:,:,1]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 100,
       "text": [
        "array([[17.578125],\n",
        "       [1283.203125],\n",
        "       [1367.1875],\n",
        "       [1386.71875],\n",
        "       [1412.109375],\n",
        "       [1425.78125],\n",
        "       [2041.015625],\n",
        "       [2064.453125],\n",
        "       [2193.359375]], dtype=object)"
       ]
      }
     ],
     "prompt_number": 100
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "best_next = argmin(best_matches[argwhere(best_matches[:, 0] == 3)][:,:,1])\n",
      "best_next"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 101,
       "text": [
        "0"
       ]
      }
     ],
     "prompt_number": 101
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "best_next += argwhere(best_matches[:, 0] == 3)[0]\n",
      "best_next"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 102,
       "text": [
        "array([3])"
       ]
      }
     ],
     "prompt_number": 102
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Check if close enough"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dist_th = 500 # Set maximum distance allowed for connection\n",
      "if best_matches[best_next,1] < dist_th:\n",
      "    print(\"Match!\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Match!\n"
       ]
      }
     ],
     "prompt_number": 103
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, all together:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Pxx, freqs, bins, im = specgram(e, 2048, 16000, noverlap=1024, pad_to=8192)\n",
      "\n",
      "peak_list = []\n",
      "for spec in Pxx.T:\n",
      "    maxima = argwhere((spec[:-2] < spec[1:-1]) & (spec[2:] < spec[1:-1])) + 1\n",
      "    peaks = [(freqs[index], spec[index]) for index in maxima if spec[index] > 1000]\n",
      "    peak_list.append(peaks)\n",
      "\n",
      "tracks = [[r_[freq, amp, bins[0]]] for freq, amp in peak_list.pop(0)] #inital tracks from initial peaks\n",
      "tracks = array(tracks)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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toCnXmlOy/GhcdCiMXOsne0LHkWv7wjeh6a9ZXkZZK4yR1xfDrNPy6wp5tNXj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HSlz5U/VxfgnQBKzgCJfGiEwuRwCk5GymfyJHgiL3Vp3dmHcQtblBwVmi9HdopqMnkxQb3JT2/o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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fa913a05ad0>"
       ]
      }
     ],
     "prompt_number": 104
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "new_peaks = peak_list.pop(0)\n",
      "last_bps = tracks[:,-1,:]\n",
      "last_bps[:,2]\n",
      "previous_frame_time = 0.064\n",
      "\n",
      "active_tracks = argwhere(last_bps[:,2] == previous_frame_time)\n",
      "active_tracks = array(active_tracks)\n",
      "prev_freqs = tracks[active_tracks,-1,0]\n",
      "\n",
      "best_matches = []\n",
      "for peak in new_peaks:\n",
      "    f = peak[0]\n",
      "    dists = abs(prev_freqs - f)\n",
      "    best_matches.append([active_tracks[argmin(dists)][0], dists.min()])\n",
      "\n",
      "best_matches = array(best_matches)\n",
      "connections = dict()\n",
      "\n",
      "for i in set(best_matches[:, 0]):\n",
      "    best_next = argmin(best_matches[argwhere(best_matches[:, 0] == i)][:,:,1])\n",
      "    best_next += argwhere(best_matches[:, 0] == i)[0]\n",
      "    connections[int(i)] = best_next[0]\n",
      "\n",
      "connections"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 105,
       "text": [
        "{0: 0, 1: 1, 2: 2, 3: 3}"
       ]
      }
     ],
     "prompt_number": 105
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Finally place breakpoints in tracks. (Exercise left to the reader)\n",
      "\n",
      "Try sinusoidal modeling:\n",
      "\n",
      "http://www.klingbeil.com/spear/\n",
      "\n",
      "http://mtg.upf.edu/technologies/sms\n",
      "\n",
      "http://www.cerlsoundgroup.org/Loris/\n",
      "\n",
      "http://www.csounds.com/manual/html/SpectralATS.html\n",
      "\n",
      "Streaming real-time:\n",
      "\n",
      "* http://www.csounds.com/manual/html/partials.html\n",
      "* http://doc.sccode.org/Classes/TPV.html"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By: Andr\u00e9s Cabrera mantaraya36@gmail.com\n",
      "For MAT course MAT 201A at UCSB\n",
      "\n",
      "This ipython notebook is licensed under the CC-BY-NC-SA license: http://creativecommons.org/licenses/by-nc-sa/4.0/\n",
      "\n",
      "![http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png](http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png)"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}